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On a relation to four basic Hilbert-type integral inequalities
basic Hilbert-type integral inequality parameter
2010/9/21
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...
Explicit Bounds on Some Nonlinear Retarded Integral Inequalities
Integral inequality retarded nonlinear explicit bound
2010/1/25
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...
CONSTRUCTIONS OF CONTENTS ANID MEASURES SA'FISFYING A PRESCRIBED SET OF INTEGRAL INEQUALITIES
Contents measures functionals integral representations
2009/9/18
Let @ be a given set of real-valued functions on the set
T and let 8: @ + be a given functional with values in the extended
real line = [- m, oo]. The objective of the paper is to construct
content...
New integral inequalities for n-time differentiable functions with applications for pdfs
Incomplete Beta functions Incomplete Expectation
2010/9/10
We present some new integral inequalities for n−time 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
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.
On Some Nonlinear Integral Inequalities with an Advanced Argument
integral inequality nonlinear advanced argument differential equation
2008/11/25
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...
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...
A Note on Integral Inequalities and Embeddings of Besov Spaces
Integral Inequalities GRR-lemma Besov spaces Embeddings
2008/7/3
It is shown that certain known integral inequalities imply directly a well-known embedding theorem of Besov spaces.
A Note on Integral Inequalities Involving the Product of Two Functions
Integral inequalities Product of two functions Discrete analogues Approximation formulae Identities
2008/7/3
In this note, we establish new integral inequalities involving two functions and their derivatives. The discrete analogues of the main results are also given.
Bounds on Certain Integral Inequalities
Integral inequalities Discrete inequalities Integral equations Partial derivatives Hyperbolic partial integrodifferential equation Sum-difference equation
2008/7/2
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
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.
Hilbert-Pachpatte Type Integral Inequalities and their Improvement
Hilbert's inequality Hilbert-Pachpatte type inequality Hö lder's inequality Jensen inequality
2008/7/1
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 ...
Hilbert-Pachpatte Type Multidimensional Integral Inequalities
Hilbert's inequality Hilbert-Pachpatte integral inequalities Holder's inequality
2008/7/1
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...
Improved Integral Inequalities For Products Of Convex Functions
Convex function Hadamard's inequality Pachpatte's inequalities
2008/7/1
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 ...
Integral Inequalities and Computer Algebra Systems
Symbolic computation Numerical integration Simpson's rule Trapezoidal rule Integral inequalities
2008/7/1
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...