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1
Content available remote New integral and finite difference inequalities in three variables
Pachpatte B.
Demonstratio Mathematica
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2009
|
Vol. 42, nr 2
339-349
EN
The objective of the present paper is to derive new estimates on some fundamental integral and finite difference inequalities in three variables which can be used as tools in the study of certain integral and sum-difference equations. Some applications are also given to convey the importance of one of our result.
2
Content available remote On Volterra-Fredholm integral equation in two variables
Pachpatte B.
Demonstratio Mathematica
|
2007
|
Vol. 40, nr 4
839-852
EN
The aim of this paper is to study thexistence, uniqueness and other properties of solution of a certain Volterra-Fredholm integral equation in two independent variables. The main tools employed in the analysis are based on the applications of the well known Banach fixed point theorem and the new integral inequality with explicit estimate.
3
Content available remote New inequalities of Cebysev type for double integrals
Pachpatte B.
Demonstratio Mathematica
|
2007
|
Vol. 40, nr 1
43-50
EN
In this paper, we establish new inequalities of Čebyšev type involving functions of two independent variables by using certain integral identities.
4
Content available remote New Ostrowski and Gruss type inequalities for double integrals
Pachpatte B.
Demonstratio Mathematica
|
2006
|
Vol. 39, nr 4
783-791
EN
In the present paper we establish new Ostrowski and Grüss type inequ- alities for double integrals involving three functions and their partial derivatives. The discrete Ostrowski and Grüss type inequalities for double sums are also given.
5
Content available remote A note on new integral inequalities of Gruss type
Pachpatte B.
Demonstratio Mathematica
|
2006
|
Vol. 39, nr 2
321-326
EN
The aim of this note is to establish two new Gruss type integral inequalities involving functions and their derivatives by using a fairly elementary analysis.
6
Content available remote Inequalities applicable to certain partial finite sum-difference equation
Pachpatte B.
Demonstratio Mathematica
|
2005
|
Vol. 38, nr 2
291--302
EN
The aim of this paper is to establish explicit bounds on certain discrete inequalities in two independent variables involving iterated sums, which can be used to study the qualitative behavior of solutions of some classes of partial finite sum-difference equations. Applications are also given to illustrate the usefulness of one of our results.
7
Content available remote New Ostrowski type inequalities for mappings whose derivatives belong to Lp spaces
Pachpatte B.
Demonstratio Mathematica
|
2004
|
Vol. 37, nr 2
293--298
EN
The aim of the present paper is to establish two new Ostrowski type inequalities for mappings whose derivatives belongs to Lp -spaces. The analysis used in the proofs is elementary and our results in the special cases yields the Ostrowski type inequality recently established by Dragomir and Wang.
8
Content available remote A note on Ostrowski type inequalities
Pachpatte B.
Demonstratio Mathematica
|
2002
|
Vol. 35, nr 1
27-30
EN
In the present note we establish two new integral inequalities of the Os-trowski type involving a function of one independent variable. The discrete analogues of the main results are also given.
9
Content available remote Discrete inequalities in three independent variables
Pachpatte B.
Demonstratio Mathematica
|
1998
|
Vol. 31, nr 4
849-854
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