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In this paper, by using the way of weight function and the technic of real analysis, a new integral inequality with some parameters and a best constant factor is given, which is a relation to four bas...
In this paper some new retarded integral inequalities are established and explicit bounds on the unknown functions are derived. The present results extend some existing ones proved by Lipovan in [A re...
We present some new integral inequalities for ntime differentiable functions, defined on a finite interval. These inequalities are used to obtain some new estimations for propability density fu...
TIME SCALE HARDY-KNOPP TYPE INTEGRAL INEQUALITIES     Weights  Hardy inequality  Delta integral       font style='font-size:12px;'> 2008/11/28
This paper deals with Hardy-Knopp type integral inequalities involving many functions and Hardy-Knopp type integral inequalities with a general kernel on time scales.
In this paper, we investigate some nonlinear integral inequalities with an advanced argument which provide explicit bounds on unknown functions. The inequalities given here can be used as tools in t...
On Some $q$-Integral Inequalities     $q$-integral  Inequalities       font style='font-size:12px;'> 2010/1/22
In this paper, we provide a q-analogue of an open problem posed by Q. A. Ng?et al. in the paper, Note on an integral inequality, J. Inequal. Pure and Appl. Math., 7(4)(2006), Art. 120, by using analyt...
It is shown that certain known integral inequalities imply directly a well-known embedding theorem of Besov spaces.
In this note, we establish new integral inequalities involving two functions and their derivatives. The discrete analogues of the main results are also given.
The main objective of this paper is to establish explicit bounds on certain integral inequalities and their discrete analogues which can be used as tools in the study of some classes of integral and s...
Extensions of Several Integral Inequalities     Integral inequality  Cauchy's Mean Value Theorem       font style='font-size:12px;'> 2008/7/2
In this article, an open problem posed in [12] is studied once again, and, following closely theorems and methods from [5], some extensions of several integral inequalities are obtained.
In this paper, we obtain an extension of multivariable integral inequality of Hilbert-Pachpatte type. By specializing the upper estimate functions in the hypothesis and the parameters, we obtain many ...
In this paper we use a new approach to obtain a class of multivariable integral inequalities of Hilbert type from which we can recover as special cases integral inequalities obtained recently by Pachp...
The inequalities, which Pachpatte has derived from the well known Hadamard's inequality for convex functions, are improved, obtaining new integral inequalities for products of convex functions. These ...
Theoretical results involving approximation of integrals are often established from the construction and resultant manipulation of an appropriate kernel. The systematic use of these kernels has produ...
Integral Inequalities of the Ostrowski Type     Ostrowski Integral Inequality  Quadrature Formulae       font style='font-size:12px;'> 2008/7/1
Integral Inequalities of the Ostrowski Type.

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