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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.
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Demonstratio Mathematica
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.
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Demonstratio Mathematica
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.
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Demonstratio Mathematica
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 [...]
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Demonstratio Mathematica
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 int[...]
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Demonstratio Mathematica
EN In this paper, we establish new inequalities of Čebyšev type involving functions of two independent variables by using certain integral identities.
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Demonstratio Mathematica
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Demonstratio Mathematica
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.
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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 ill[...]
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Demonstratio Mathematica
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