scholarly journals Some new integral inequalities for Lipschitzian functions

Author(s):  
İmdat İşcan ◽  
Mahir Kadakal ◽  
Alper Aydın

This paper is about obtaining some new type of integral inequalities for functions from the Lipschitz class. For this, some new integral inequalities related to the differences between the two different types of integral averages for Lipschitzian functions are obtained. Moreover, applications for some special means as arithmetic, geometric, logarithmic, -logarithmic, harmonic, identric are given.

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
İmdat İşcan

The author obtains new estimates on generalization of Hadamard, Ostrowski, and Simpson type inequalities for Lipschitzian functions via Hadamard fractional integrals. Some applications to special means of positive real numbers are also given.


2021 ◽  
Vol 51 (1-2) ◽  
pp. 5-14
Author(s):  
Anna-Klara Bojö

The Bodies’ Poetry: Eva Runefelt, Eva Ström and Swedish Poetry in the Late 1970’s In the mid 1970’s a new type of poetry, associated with the body, emerged in Sweden. Especially young women writers appeared to take Swedish poetry in new aesthetic directions, exploring questions regarding experience and language. This article focuses on two prominent writers, Eva Runefelt and Eva Ström, and discusses how their different types of poetry can be said to be a bodies’ poetry, and how it was discussed in contemporary literary critique. It also reflects on why this strand of poetry has been granted such a peripheral place in literary history.


2016 ◽  
Vol 5 (3) ◽  
pp. 73 ◽  
Author(s):  
Haidar F. AL-Qrimli ◽  
Karam S. Khalid ◽  
Ahmed M. Abdelrhman ◽  
Roaad K. Mohammed A ◽  
Husam M. Hadi

The purpose of this work is to present a clear fundamental thought for designing and investigating straight bevel gear made of composite material. Composite materials have the advantage of being light, producing low noises, and extra loading capacities. Due to these properties, it is highly preferable over conventional materials. A comparison between different types of material used in a gear structure will be shown. The outcome shows that a new form of cheap material may be useful for designing a new type of lighter and stiffer gear, designed for robotic arm applications or any power transmission application.


2020 ◽  
Vol 20 (6) ◽  
pp. 942-957
Author(s):  
Yusuf Izmirlioglu ◽  
Esra Erdem

AbstractWe propose a novel formal framework (called 3D-NCDC-ASP) to represent and reason about cardinal directions between extended objects in 3-dimensional (3D) space, using Answer Set Programming (ASP). 3D-NCDC-ASP extends Cardinal Directional Calculus (CDC) with a new type of default constraints, and NCDC-ASP to 3D. 3D-NCDC-ASP provides a flexible platform offering different types of reasoning: Nonmonotonic reasoning with defaults, checking consistency of a set of constraints on 3D cardinal directions between objects, explaining inconsistencies, and inferring missing CDC relations. We prove the soundness of 3D-NCDC-ASP, and illustrate its usefulness with applications.


Axioms ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 296
Author(s):  
Muhammad Tariq ◽  
Asif Ali Shaikh ◽  
Soubhagya Kumar Sahoo ◽  
Hijaz Ahmad ◽  
Thanin Sitthiwirattham ◽  
...  

The theory of convexity plays an important role in various branches of science and engineering. The objective of this paper is to introduce a new notion of preinvex functions by unifying the n-polynomial preinvex function with the s-type m–preinvex function and to present inequalities of the Hermite–Hadamard type in the setting of the generalized s-type m–preinvex function. First, we give the definition and then investigate some of its algebraic properties and examples. We also present some refinements of the Hermite–Hadamard-type inequality using Hölder’s integral inequality, the improved power-mean integral inequality, and the Hölder-İşcan integral inequality. Finally, some results for special means are deduced. The results established in this paper can be considered as the generalization of many published results of inequalities and convexity theory.


Author(s):  
Artion Kashuri ◽  
Rozana Liko

Trapezoidal inequalities for functions of divers natures are useful in numerical computations. The authors have proved an identity for a generalized integral operator via twice differentiable preinvex function. By applying the established identity, the generalized trapezoidal type integral inequalities have been discovered. It is pointed out that the results of this research provide integral inequalities for almost all fractional integrals discovered in recent past decades. Various special cases have been identified. Some applications of presented results to special means have been analyzed. The ideas and techniques of this paper may stimulate further research.


2013 ◽  
Vol 281 ◽  
pp. 287-292 ◽  
Author(s):  
Ren Feng Zhao ◽  
Sheng Dun Zhao ◽  
Bin Zhong

This paper illuminates a new type of precision cropping process method with rotary striking action. The new process makes use of a controllable circumferential strike on a metal bar with a V-shaped notch. The working principle of the machine is described. Different types of metal bars have been tested, and both bad results and successful results were stated in the paper. The most ideal control mode has been obtained. The experimental results show that the new cropping process can crop bars with different materials and diameters. In some cases, it can be directly used in the subsequent industrial production.


2018 ◽  
Vol 5 (4) ◽  
pp. 751-759 ◽  
Author(s):  
Suying Xu ◽  
Xilin Bai ◽  
Leyu Wang

Photothermal sensors have emerged as a new type of sensor platform in recent decades and this brief review has summarized different types of photothermally responsive materials and their applications in various fields.


2019 ◽  
Vol 220 ◽  
pp. 01002
Author(s):  
S.M. Arakelian ◽  
A.O. Kucherik ◽  
T.A. Khudaberganov ◽  
D.N. Bukharov

Nanocluster structures can be easily modified in necessary direction and by controlled way in femtonanophotonics experiments. The variation of the key topology parameters can result in new type of the quantum correlation states/size effect for charged particles. In our earlier experiments we studied laser-induced topological nanoclusters structures of different types in thin films with unique phenomena in electrophysics and optics (see [1-3]). A simple 2-steps mechanism for enhancement of quantum behavior (e.g. in electroconductivity) exists for different conditions. First, when inelastic length linelastic > acluster we have no incoherent electron-phonon (e-ph) scattering, i.e. the coherent process takes place. Second, when de Broglie wave length λdB ≡ ℓcoh < Λ, (acluster – cluster size , Λ – spatial period of nanoparticle distribution) the coherent tunneling without loss occurs, and a long-range order with interference of the states takes place in the medium due to lattice structure.


2015 ◽  
Vol 16 (1) ◽  
pp. 92-107
Author(s):  
Milan Orlić

In this paper I analyze two of Pekić’s novels in the light of Bakhtin’s concept of the open text of the polyphonic novel which Pekić develops by means of a new Narrator Figure and a new poetics based on an encyclopedic embedded text structure. Among several literary techniques developed from the beginnings of Pekić’s writing, crucial importance belongs to what I call the Explicit Narrator Figure (for instance, in The Time of Miracles, 1965), who speaks in his own voice as interpreter of found texts, and the Implicit Narrator Figure, who adopts the literary and non-literary voices of (many) others, to whose diction and style he assimilates his own voice (for example, in Pilgrimage of Arsenije Njegovan, 1970). This new (postmodern) narrator figure, both explicit and implicit, acts as an interpreter of «found» texts. What connects these two types of Narrator Figures is the document and related Embedded Narration: both narrators thus deal with the pre-texts as well as texts-in-texts, levels and layers of texts, proto-texts and meta-texts – various types of Framed/Embedded Narratives. The Implicit Narrator Figure deals with Biblical witnessed texts and the Explicit Narrator Figure uses personal testamentary texts. In such a way, both Implicit and Explicit Narrator Figures become the researchers of different types of literary and non-literary documents. These complex inter-textual explorations of the “library” of culture are “encyclopedic” in magnitude and reveal, in combination with the new Narrator Figure’s status as Editor and Interpreter, a new type of narrative text, constituted in the encyclopedic open novel structure. Pekić thus introduces a new form of inter-textuality into Serbian literature, implicitly extending Bakhtin’s (and Dostoevsky’s) legacy by drawing on the Serbian national literary canon and the entire Western cultural “library”.


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