scholarly journals The Numerical Evaluation of Double Integrals

1923 ◽  
Vol 42 ◽  
pp. 2-13 ◽  
Author(s):  
A. C. Aitken ◽  
G. L. Frewin
Keyword(s):  
Numerical Evaluation ◽  
Systematic Search ◽  
Independent Variables ◽  
Two Independent Variables ◽  
Double Integrals

The present paper is concerned with formulae by which double integrals of functions of two independent variables may be evaluated approximately. The number of such formulae published hitherto is not great, and it has seemed desirable both to make a systematic search for new formulae, and to test the comparative merits of these, and of those previously known, by computing the numerical values of certain selected integrals.

scholarly journals On the Generalized Weighted Integral Inequality for Double Integrals

2015 ◽  
Vol 61 (1) ◽  
pp. 169-179 ◽  
Author(s):  
Mehmet Zeki Sarikaya
Keyword(s):  
Integral Inequality ◽  
Independent Variables ◽  
Elementary Analysis ◽  
Weighted Integral ◽  
Function Of Two Variables ◽  
Two Independent Variables ◽  
Double Integrals

Abstract In this paper, we obtain weighted Montgomery’s identities for function of two variables and apply them to give new generalization weighted integral inequality for double integrals involving functions of two independent variables by using fairly elementary analysis.

scholarly journals Growth estimates on certain integral inequalities in two variables involving iterated integrals

2005 ◽  
Vol 36 (3) ◽  
pp. 179-191
Author(s):  
B. G. Pachpatte
Keyword(s):  
Integral Equations ◽  
Integral Inequalities ◽  
Qualitative Behavior ◽  
Iterated Integrals ◽  
Independent Variables ◽  
Two Independent Variables ◽  
Double Integrals

The aim of the present paper is to establish growth estimates on some new integral inequalities in two independent variables involving iterated double integrals, which can be used to study the qualitative behavior of solutions of certain partial integrodifferential and integral equations. Applications are also given to illustrate the usefulness of one of our results.

scholarly journals On the Ostrowski type integral inequality for double integrals

2012 ◽  
Vol 45 (3) ◽  
Author(s):  
Mehmet Zeki Sarikaya
Keyword(s):  
Integral Inequality ◽  
Independent Variables ◽  
Elementary Analysis ◽  
Type Integral ◽  
Two Independent Variables ◽  
Double Integrals

AbstractIn this note, we establish a new inequality of Ostrowski-type for double integrals involving functions of two independent variables by using fairly elementary analysis.

New generalized 2D Ostrowski type inequalities on time scales with k2 points using a parameter

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3155-3169 ◽  
Author(s):  
Seth Kermausuor ◽  
Eze Nwaeze
Keyword(s):  
Numerical Analysis ◽  
Time Scales ◽  
Type Inequality ◽  
Dimensional Case ◽  
Multiple Points ◽  
Quantum Calculus ◽  
Independent Variables ◽  
Ostrowski Type Inequality ◽  
Two Independent Variables

Recently, a new Ostrowski type inequality on time scales for k points was proved in [G. Xu, Z. B. Fang: A Generalization of Ostrowski type inequality on time scales with k points. Journal of Mathematical Inequalities (2017), 11(1):41-48]. In this article, we extend this result to the 2-dimensional case. Besides extension, our results also generalize the three main results of Meng and Feng in the paper [Generalized Ostrowski type inequalities for multiple points on time scales involving functions of two independent variables. Journal of Inequalities and Applications (2012), 2012:74]. In addition, we apply some of our theorems to the continuous, discrete, and quantum calculus to obtain more interesting results in this direction. We hope that results obtained in this paper would find their place in approximation and numerical analysis.

Explaining Peaceful Change in Central and Eastern Europe

2020 ◽  
Author(s):  
Alexander Tabachnik ◽  
Benjamin Miller
Keyword(s):  
Eastern Europe ◽  
Central And Eastern Europe ◽  
State Capacity ◽  
The State ◽  
National Identities ◽  
Great Power ◽  
Soviet System ◽  
The Balkans ◽  
Independent Variables ◽  
Two Independent Variables

This chapter explains the process of peaceful change in Central and Eastern Europe following the demise of the Soviet system. It also explains the failure of peaceful change in the Balkans and some post-Soviet countries, such as the Ukrainian conflict in 2014. The chapter accounts for the conditions for peaceful change and for the variation between peaceful and violent change by the state-to-nation theory. The two independent variables suggested by the theory are the level of state capacity and congruence—namely the compatibility between state borders and the national identities of the countries at stake. Moreover, according to the theory, great-power engagement serves as an intervening variable and in some conditions, as explained in the chapter, may help with peaceful change.

scholarly journals New dynamic Hilbert-type inequalities in two independent variables involving Fenchel–Legendre transform

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
A. A. El-Deeb ◽  
Saima Rashid ◽  
Zareen A. Khan ◽  
S. D. Makharesh
Keyword(s):  
Time Scales ◽  
Legendre Transform ◽  
Independent Variables ◽  
Hilbert Type ◽  
Two Independent Variables ◽  
New Inequalities

AbstractIn this paper, we establish some dynamic Hilbert-type inequalities in two independent variables on time scales by using the Fenchel–Legendre transform. We also apply our inequalities to discrete and continuous calculus to obtain some new inequalities as particular cases. Our results give more general forms of several previously established inequalities.

Online viewers’ choices over advertisement number and duration

2020 ◽  
Vol 14 (2) ◽  
pp. 215-238
Author(s):  
Stephen Nettelhorst ◽  
Laura Brannon ◽  
Angela Rose ◽  
Whitney Whitaker
Keyword(s):  
Exposure Time ◽  
Design Methodology ◽  
Persuasive Messages ◽  
Content Type ◽  
Independent Variables ◽  
Research Designs ◽  
Total Exposure Time ◽  
Online Simulations ◽  
Independent Variable ◽  
Two Independent Variables

Purpose The purpose of this study is to investigate online viewers’ preferences concerning the number and duration of video advertisements to watch during commercial breaks. The goal of the investigations was to assess whether online viewers preferred watching a fewer number of advertisements with longer durations or a greater number of advertisements with shorter durations. Design/methodology/approach Two studies used experimental research designs to assess viewers’ preferences regarding advertisements. These designs used two independent variables and one dependent variable. The first independent variable manipulated the type of choice options given to online viewers (e.g. one 60 s or two 30 s advertisements). The second independent variable manipulated when the choice was given to online viewers (i.e. at the beginning of the viewing experience or in the middle of the experience). The dependent variable measured viewers’ choices concerning their preferred advertisement option. Findings The results across both studies found that participants made choices that minimized total advertisement exposure time when possible. When minimizing total exposure time was not possible, participants made choices that minimized the number of exposures instead. Originality/value These investigations extend the literature on advertisement choice by examining online viewers’ preferences about the format of their advertising experience rather than the content of the persuasive messages themselves. In addition, these investigations provide value by investigating viewers’ responses to stimuli within realistic online simulations rather than abstract hypotheticals.

Institutional Misconducts and Anxiety Levels Among Jailed Inmates

1980 ◽  
Vol 7 (2) ◽  
pp. 203-214 ◽  
Author(s):  
James L. Bonta ◽  
Geoff Nanckivell
Keyword(s):  
Anxiety Level ◽  
Demographic Differences ◽  
Independent Variables ◽  
History Of ◽  
Anxiety Levels ◽  
Two Independent Variables

The present investigation reports upon various aspects of incarceration within a jail setting. In the first study, variables that were associated with the occurrence of institutional misconducts were documented by comparing a group of inmates committing misconducts with inmates having no history of misconducts. A number of personal and demographic differences were observed between the groups, but no relationship between crowding and the occurrence of a misconduct was found. The second study investigated the effect of incarceration and sentencing upon the inmates' anxiety level. Sixty-one inmates formed four groups varying on two independent variables: pretest and sentence. Significant effects due to incarceration and sentencing were absent.

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