scholarly journals Some New Simpson’s-Formula-Type Inequalities for Twice-Differentiable Convex Functions via Generalized Fractional Operators

Symmetry ◽  
2021 ◽  
Vol 13 (12) ◽  
pp. 2249
Author(s):  
Muhammad Aamir Ali ◽  
Hasan Kara ◽  
Jessada Tariboon ◽  
Suphawat Asawasamrit ◽  
Hüseyin Budak ◽  
...  
Keyword(s):  
Convex Functions ◽  
Fractional Operators ◽  
The Past ◽  
Differentiable Functions ◽  
Simpson’S Inequality ◽  
Special Cases ◽  
Wide Range ◽  
Generalized Fractional Integral ◽  
The Subject ◽  
Formula Type

From the past to the present, various works have been dedicated to Simpson’s inequality for differentiable convex functions. Simpson-type inequalities for twice-differentiable functions have been the subject of some research. In this paper, we establish a new generalized fractional integral identity involving twice-differentiable functions, then we use this result to prove some new Simpson’s-formula-type inequalities for twice-differentiable convex functions. Furthermore, we examine a few special cases of newly established inequalities and obtain several new and old Simpson’s-formula-type inequalities. These types of analytic inequalities, as well as the methodologies for solving them, have applications in a wide range of fields where symmetry is crucial.

Introductory remarks

1977 ◽  
Vol 280 (972) ◽  
pp. 105-105
Keyword(s):  
Climatic Change ◽  
Food Supply ◽  
Time Scale ◽  
Food Production ◽  
Rapid Change ◽  
Climatic Fluctuations ◽  
The Past ◽  
Wide Range ◽  
The Subject ◽  
Different Sources

In the last year or two there has been a remarkable increase in the interest, both popular and scientific, in the subject of climatic change. This stems from a recognition that even a highly technological society is vulnerable to the effects of climatic fluctuations and indeed may become more so, as margins of surplus food production are reduced, and nations become more interdependent for their food supply. In this respect our concern is with quite small changes - a degree (Celsius) or less in temperature and 10 % or so in rainfall. Probably we may discount some of the more alarmist suggestions of an imminent and rapid change towards near glacial conditions as these are based on very sketchy evidence. However, whatever the time-scale of climatic fluctuations with which we are concerned, we may hope to learn a great deal which is relevant to the factors which will control our future climate from the study of its more extreme vagaries in the past. Information relevant to the weather in such extreme periods is coming forward in increasing detail and volume from a wide range of disciplines. The variety of the evidence, its lack of precision as a strict measure of climate, and the number of different sources all make it difficult for an individual to build up a clear picture of past climates. However such a picture is needed, if explanations and interpretation are to be possible. Ideally one would need a synchronous picture of the climate of the whole world at selected epochs in the past. Various international programmes are directed to forming such pictures.

Introduction: Immigration and Incorporation

1997 ◽  
Vol 40 (3) ◽  
pp. 333-338 ◽  
Author(s):  
Rubén G. Rumbaut
Keyword(s):  
United States ◽  
New York ◽  
Los Angeles ◽  
Race And Ethnicity ◽  
The United States ◽  
The Past ◽  
Immigrant Settlement ◽  
Wide Range ◽  
The Subject ◽  
American Society

In at least one sense the “American century” is ending much as it had begun: the United States has again become a nation of immigrants, and it is again being transformed in the process. But the diversity of the “new immigration” to the United States over the past three decades differs in many respects from that of the last period of mass immigration in the first three decades of the century. The immigrants themselves differ greatly in their social class and national origins, and so does the American society, polity, and economy that receives them—raising questions about their modes of incorporation, and challenging conventional accounts of assimilation processes that were framed during that previous epoch. The dynamics and future course of their adaptation are open empirical questions—as well as major questions for public policy, since the outcome will shape the future contours of American society. Indeed, as the United States undergoes its most profound demographic transformation in a century; as inexorable processes of globalization, especially international migrations from Asia, Africa, and the Americas, diversify still further the polyethnic composition of its population; and as issues of immigration, race and ethnicity become the subject of heated public debate, the question of incorporation, and its serious study, becomes all the more exigent. The essays in this special issue of Sociological Perspectives tackle that subject from a variety of analytical vantages and innovative approaches, covering a wide range of groups in major areas of immigrant settlement. Several of the papers focus specifically on Los Angeles and New York City, where, remarkably, fully a quarter of the total U.S. immigrant population resides.

scholarly journals VIII. Gaseous combustion at medium pressures. Part I. —Carbon monoxide air explosions in a closed vessel. Part II. —Methane-air explosions in a closed vessel

1926 ◽  
Vol 225 (626-635) ◽  
pp. 331-356 ◽  
Keyword(s):  
Carbon Monoxide ◽  
National Physical Laboratory ◽  
Closed Vessel ◽  
Engineering Research ◽  
The Past ◽  
Physical Laboratory ◽  
Wide Range ◽  
The Subject ◽  
Temperature And Pressure ◽  
Air Explosion

During the past five years a programme of research involving air-fuel explosions in a closed vessel has been in progress at the National Physical Laboratory for the Engineering Research Board of the Department of Scientific and Industrial Research. Among the experimental results obtained, those relating to Carbon Monoxide and Methane were considered likely to be of interest to the Society, and form the subject of the present communication. Of the two investigations described, the first gives experimental data on the respective influences of hydrogen-air and water vapour on a carbon monoxide-air explosion, and the second relates to explosions of methane and air over a comparatively wide range of initial temperature and pressure.

scholarly journals Some new inequalities for generalized convex functions pertaining generalized fractional integral operators and their applications

2021 ◽  
Vol 17 (1) ◽  
pp. 37-64
Author(s):  
A. Kashuri ◽  
M.A. Ali ◽  
M. Abbas ◽  
M. Toseef
Keyword(s):  
Differentiable Function ◽  
Convex Functions ◽  
Fractional Integral ◽  
Integral Operators ◽  
Generalized Convex Functions ◽  
Fractional Integral Operators ◽  
Special Cases ◽  
Generalized Fractional Integral ◽  
Generalized Fractional Integral Operators ◽  
New Inequalities

Abstract In this paper, authors establish a new identity for a differentiable function using generic integral operators. By applying it, some new integral inequalities of trapezium, Ostrowski and Simpson type are obtained. Moreover, several special cases have been studied in detail. Finally, many useful applications have been found.

The Multiple Criterion Technique of Subjective Appraisal

1950 ◽  
Vol 2 (3) ◽  
pp. 124-131 ◽  
Author(s):  
R. G. Hopkinson
Keyword(s):  
Functional Relationship ◽  
The Past ◽  
Radar Echoes ◽  
Wide Range ◽  
Discomfort Glare ◽  
The Subject ◽  
Visual Problems ◽  
Theoretical Import ◽  
Selection Of ◽  
Made In

A technique is described by which, the quantitative connection between physical aspects of a stimulus situation and subjective aspects of the perceptual response may be conveniently and reliably determined. The subject is given control of one of the significant physical variables such, for instance, as brightness, and is asked to set this variable to correspond In turn with a limited number of defined criteria relating to a subjective variable such as glare-discomfort It is found that each criterion acts as a check upon judgments made in terms of the others, so that the scatter of the control settings Is less than when a single criterion is used The functional relationship between the physical and the subjective variable can be estimated, and provided care Is taken in the design of the experiment and In the selection of observers, consistent results are obtained. This technique has been applied during the past ten years to a wide range of visual problems which Include those of the visibility of radar echoes, the visibility of street-lighting from the air, discomfort-glare and ease of reading. It Is thought that It might find wide application not only in applied Psychological work but in the investigation of problems of theoretical import.

scholarly journals General Raina fractional integral inequalities on coordinates of convex functions

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Dumitru Baleanu ◽  
Artion Kashuri ◽  
Pshtiwan Othman Mohammed ◽  
Badreddine Meftah
Keyword(s):  
Mathematical Model ◽  
Fractional Calculus ◽  
Convex Function ◽  
Mathematical Analysis ◽  
Integral Inequality ◽  
Convex Functions ◽  
Fractional Integral ◽  
Integral Inequalities ◽  
Differentiable Functions ◽  
Special Cases

AbstractIntegral inequality is an interesting mathematical model due to its wide and significant applications in mathematical analysis and fractional calculus. In this study, authors have established some generalized Raina fractional integral inequalities using an $(l_{1},h_{1})$ ( l 1 , h 1 ) -$(l_{2},h_{2})$ ( l 2 , h 2 ) -convex function on coordinates. Also, we obtain an integral identity for partial differentiable functions. As an effect of this result, two interesting integral inequalities for the $(l_{1},h_{1})$ ( l 1 , h 1 ) -$(l_{2},h_{2})$ ( l 2 , h 2 ) -convex function on coordinates are given. Finally, we can say that our findings recapture some recent results as special cases.

scholarly journals A Generalized Fejér-Hadamard Inequality for Harmonically Convex Functions via Generalized Fractional Integral Operator and Related Results

2018 ◽  
Author(s):  
Shin Min Kang ◽  
Ghulam Abbas ◽  
Ghulam Farid ◽  
Waqas Nazeer
Keyword(s):  
Integral Operator ◽  
Convex Function ◽  
Convex Functions ◽  
Fractional Integral ◽  
Fractional Integral Operator ◽  
Integral Inequalities ◽  
Hadamard Inequality ◽  
Special Cases ◽  
Generalized Fractional Integral ◽  
Harmonically Convex Functions

In the present research, we will develop some integral inequalities of Hermite Hadamard type for differentiable η-convex function. Moreover, our results include several new and known results as special cases.

scholarly journals Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Yu-Ming Chu ◽  
Muhammad Uzair Awan ◽  
Muhammad Zakria Javad ◽  
Awais Gul Khan
Keyword(s):  
Convex Functions ◽  
Integral Identity ◽  
Fractional Integral ◽  
Higher Order ◽  
Fractional Integrals ◽  
Auxiliary Result ◽  
Simpson’S Inequality ◽  
Generalized Fractional Integral

The goal of this paper is to derive some new variants of Simpson’s inequality using the class of n-polynomial convex functions of higher order. To obtain the main results of the paper, we first derive a new generalized fractional integral identity utilizing the concepts of Katugampola fractional integrals. This new fractional integral identity will serve as an auxiliary result in the development of the main results of this paper.

The Limits of Free Will

2017 ◽  
Author(s):  
Paul Russell
Keyword(s):  
Moral Responsibility ◽  
Free Will ◽  
Moral Psychology ◽  
Practical Reason ◽  
The Past ◽  
Wide Range ◽  
History Of ◽  
The Subject ◽  
Moral Capacity ◽  
Selection Of

This volume contains a selection of chapters concerning free will and moral responsibility. The problems arising in this field of philosophy, which are deeply rooted in the history of the subject, are also intimately related to a wide range of other fields, such as law and criminology, moral psychology, theology, and, more recently, neuroscience. The chapters included in this collection were written and first published over a period of three decades, although most have appeared in the past decade or so. During this period this area of philosophy has been particularly active and it continues to attract a great deal of interest and attention. Among the topics covered, as they relate to these problems, are the challenge of skepticism; moral sentiment and moral capacity; necessity and the metaphysics of causation; practical reason; free will and art; fatalism and the limits of agency; and our metaphysical attitudes of optimism and pessimism.

Idronoxil as an Anticancer Agent: Activity and Mechanisms

2020 ◽  
Vol 20 (5) ◽  
pp. 341-354 ◽  
Author(s):  
Kate Porter ◽  
Walter Douglas Fairlie ◽  
Olivier Laczka ◽  
Frederic Delebecque ◽  
John Wilkinson
Keyword(s):  
Biological Effects ◽  
Cancer Therapies ◽  
Cellular Targets ◽  
The Past ◽  
Cycle Arrest ◽  
Anticancer Effects ◽  
Wide Range ◽  
Inhibition Of Angiogenesis ◽  
The Subject ◽  
Second Chance

Idronoxil has been the subject of more than 50 peer-reviewed publications over the last two decades. This isoflavone is an intriguing regulator of multiple signal transduction pathways, capable of causing a range of biological effects, including cell cycle arrest, apoptosis, an ability to stimulate the immune system, and inhibition of angiogenesis. These multifaceted actions suggest that idronoxil has the potential to synergize with, or complement, a wide range of cancer therapies. Whilst clinically tested in the past, idronoxil’s journey was discontinued as a result of its low bioavailability in humans when administered either intravenously or orally, though strategies to overcome this issue are currently being explored. Here, we summarize the current literature regarding the key cellular targets of idronoxil and the mechanisms by which idronoxil exerts its anticancer effects, laying a new foundation toward giving this unique molecule a second chance of contributing to the future of cancer treatment.

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