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.

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 A NOTE ON TWO DIMENSIONAL INTEGRAL INEQUALITY

1990 ◽  
Vol 21 (3) ◽  
pp. 211-213
Author(s):  
B. G. PACHPATTE
Keyword(s):  
Integral Inequality ◽  
Present Note ◽  
Two Dimensional ◽  
Partial Derivatives ◽  
Independent Variables ◽  
Dimensional Integral ◽  
Two Independent Variables

In the present note we establish a new integral inequality involving a function of two independent variables and its partial derivatives.

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 SOME NEW GENERALIZATIONS OF CERTAIN GAMIDOV INTEGRAL INEQUALITIES IN TWO INDEPENDENT VARIABLES AND THEIR APPLICATIONS

2018 ◽  
pp. 467
Author(s):  
Khaled Boukerrioua ◽  
Dallel Diabi ◽  
Brahim Kilani
Keyword(s):  
Integral Inequalities ◽  
Independent Variables ◽  
Type Integral ◽  
Explicit Bounds ◽  
Two Independent Variables

The goal of this paper is to derive some new generalizations of certain Gamidov type integral inequalities in two variables which provide explicit bounds on unknown functions. To show the feasibility of the obtained inequalities,some illustrative examples are also introduce.

scholarly journals On a new Ostrowski type inequality in two independent variables

2001 ◽  
Vol 32 (1) ◽  
pp. 45-49
Author(s):  
B. G. Pachpatte
Keyword(s):  
Integral Inequality ◽  
Type Inequality ◽  
Discrete Analogue ◽  
Independent Variables ◽  
Ostrowski Type Inequality ◽  
Two Independent Variables

In this note a new integral inequality of Ostrowski type in two independent variables is established. The discrete analogue of the main result is also given.

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 Nonlinear integral inequality in two independent variables

1988 ◽  
Vol 11 (1) ◽  
pp. 115-119
Author(s):  
P. T. Vaz ◽  
S. G. Deo
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Integral Inequality ◽  
Nonlinear Partial Differential Equation ◽  
Partial Differential ◽  
Independent Variables ◽  
Nonlinear Integral Inequality ◽  
Nonlinear Inequality ◽  
Two Independent Variables

In this note, the authors obtain a generalization of the integral inequality of Bihari [1] to a nonlinear inequality in two independent variables. With the aid of this inequality a bound for the solution of a nonlinear partial differential equation is established.

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