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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...
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...
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...
Integral Inequalities of the Ostrowski Type
Ostrowski Integral Inequality Quadrature Formulae
2008/7/1
Integral Inequalities of the Ostrowski Type.
Estimation for Bounded Solutions of Integral Inequalities Involving Infinite Integration Limits
Nonlinear integral inequality Infinite integration limit Explicit bound on solutions
2008/7/1
Some integral inequalities with infinite integration limits are established as generalizations of a known result due to B.G. Pachpatte.
Explicit Bounds On some Nonlinear Integral Inequalities
Integral inequalities Retarded integral inequality Retarded differential equations Partial delay differential equations
2008/7/1
In this paper, some new nonlinear integral inequalities involving functions of one and two independent variables which provide explicit bounds on unknown functions are established. We also present som...
Explicit Estimates on Integral Inequalities with Time Scale
Explicit estimates Time scale Gronwall inequality Bihari's Inequality
2008/7/1
The main objective of this paper is to obtain explicit estimates on some integral inequalities on time scale. The obtained inequalities can be used as tools in the study of certain classes of dynamic ...
Notes on Qi Type Integral Inequalities
Qi type integral inequality Reversed Hö lder inequality Reversed convolution inequality
2008/6/30
By utilizing a reversed Hölder inequality and a reversed convolution inequality, some new integral inequalities which originate from an open problem posed in [F. Qi, Several integral inequalities...