Two-sided Volterra-type integral inequalities with several independent variables

1982 ◽  
Vol 33 (6) ◽  
pp. 644-648
Author(s):  
B. A. Shuvar ◽  
M. I. Kopach
Keyword(s):  
Integral Inequalities ◽  
Volterra Type ◽  
Independent Variables ◽  
Type Integral

scholarly journals DISCRETE POINCARE-TYPE INEQUALITIES

1998 ◽  
Vol 29 (2) ◽  
pp. 145-153
Author(s):  
WING-SUM CHEUNG
Keyword(s):  
Discrete Analogue ◽  
Integral Inequalities ◽  
Independent Variables ◽  
Type Integral ◽  
Discrete Inequalities ◽  
Poincaré Type Inequalities

In this paper some discrete analogue of Poincare-type integral inequalities involving many independent variables are established. These in turn can be used to serve as generators of other interesting discrete inequalities.

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.

On Sobolev type integral inequalities

1986 ◽  
Vol 103 (1-2) ◽  
pp. 1-14 ◽  
Author(s):  
B. G. Pachpatte
Keyword(s):  
Integral Inequalities ◽  
Sobolev Type ◽  
Independent Variables ◽  
Type Integral

SynopsisThe aim of this paper is to establish some new integral inequalities of the Sobolev type involving functions of several independent variables. The analysis used in the proofs is elementary and the results established provide new estimates for this type of inequality.

scholarly journals Some discrete Poincaré-type inequalities

2001 ◽  
Vol 25 (7) ◽  
pp. 479-488 ◽  
Author(s):  
Wing-Sum Cheung
Keyword(s):  
Discrete Analogue ◽  
Integral Inequalities ◽  
Independent Variables ◽  
Type Integral ◽  
Discrete Inequalities ◽  
Poincaré Type Inequalities

Some discrete analogue of Poincaré-type integral inequalities involving many functions of many independent variables are established. These in turn can serve as generators of further interesting discrete inequalities.

scholarly journals Fractional Integral Inequalities for Exponentially Nonconvex Functions and Their Applications

2021 ◽  
Vol 5 (3) ◽  
pp. 80
Author(s):  
Hari Mohan Srivastava ◽  
Artion Kashuri ◽  
Pshtiwan Othman Mohammed ◽  
Dumitru Baleanu ◽  
Y. S. Hamed
Keyword(s):  
Integral Inequalities ◽  
Fractional Integrals ◽  
Auxiliary Result ◽  
Wright Function ◽  
Nonconvex Functions ◽  
Special Cases ◽  
Type Integral ◽  
Generic Class ◽  
Two Parameters ◽  
Class Of Functions

In this paper, the authors define a new generic class of functions involving a certain modified Fox–Wright function. A useful identity using fractional integrals and this modified Fox–Wright function with two parameters is also found. Applying this as an auxiliary result, we establish some Hermite–Hadamard-type integral inequalities by using the above-mentioned class of functions. Some special cases are derived with relevant details. Moreover, in order to show the efficiency of our main results, an application for error estimation is obtained as well.

scholarly journals Some Hermite–Hadamard type integral inequalities for convex functions defined on convex bodies in ℝn\mathbb{R}^{n}

2020 ◽  
Vol 26 (1) ◽  
pp. 67-77 ◽  
Author(s):  
Silvestru Sever Dragomir
Keyword(s):  
Euclidean Space ◽  
Convex Functions ◽  
Convex Bodies ◽  
Integral Inequalities ◽  
Divergence Theorem ◽  
Several Variables ◽  
Type Integral ◽  
Bounded Convex

AbstractIn this paper, by the use of the divergence theorem, we establish some integral inequalities of Hermite–Hadamard type for convex functions of several variables defined on closed and bounded convex bodies in the Euclidean space {\mathbb{R}^{n}} for any {n\geq 2}.

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