Results 31 to 40 of about 355,073 (333)

On an Integral Inequality [PDF]

open access: yesJournal of inequalities in pure and applied mathematics, 2004
In this article we give different sufficient conditions for the inequality $(\int_a^b f(x)^{; ; ; \alpha}; ; ; dx)^{; ; ; \beta}; ; ; \geq \int_a^b f(x)^{; ; ; \gamma}; ; ; dx$ to hold.
Pečarić, Josip, Pejković, Tomislav
openaire   +2 more sources

Nonoscillation and integral inequalities [PDF]

open access: yesBulletin of the American Mathematical Society, 1974
Publisher Summary This chapter discusses nonoscillation and integral inequalities. The chapter presents an assumption involving a system dy/dt = A(t) y where A = (a jk ) n 1 is an n × n real valued matrix and y = (y 1 , …, y n ) is an n column real valued vector.
openaire   +4 more sources

New developments in fractional integral inequalities via convexity with applications

open access: yesAIMS Mathematics, 2023
The main objective of this article is to build up a new integral equality related to Riemann Liouville fractional (RLF) operator. Based on this integral equality, we show numerous new inequalities for differentiable convex as well as concave functions ...
Maimoona Karim   +4 more
doaj   +1 more source

Functional inequalities for the Bickley function [PDF]

open access: yes, 2013
In this paper our aim is to deduce some complete monotonicity properties and functional inequalities for the Bickley function. The key tools in our proofs are the classical integral inequalities, like Chebyshev, H\"older-Rogers, Cauchy-Schwarz, Carlson ...
Baricz, Árpád, Pogány, Tibor K.
core   +2 more sources

A New Ostrowski’s Type Inequality for Quadratic Kernel

open access: yesInternational Journal of Analysis and Applications, 2022
From the past few decades, the integral inequalities have been extensively researched. Integral inequalities are applied in innumerable mathematical problems.
M. M. Saleem   +4 more
doaj   +1 more source

Generalisations of Integral Inequalities of Hermite-Hadamard type through Convexity

open access: yes, 2012
In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose derivatives are $s$-$(\alpha,m)$-convex.The generalised integral inequalities ...
Bhatti, Muhammad Iqbal   +2 more
core   +1 more source

Some generalized Riemann-Liouville k-fractional integral inequalities

open access: yesJournal of Inequalities and Applications, 2016
The focus of the present study is to prove some new Pólya-Szegö type integral inequalities involving the generalized Riemann-Liouville k-fractional integral operator.
Praveen Agarwal   +2 more
doaj   +1 more source

Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations

open access: yesJournal of Inequalities and Applications, 2009
We study some special nonlinear integral inequalities and the corresponding integral equations in measure spaces. They are significant generalizations of Bihari type integral inequalities and Volterra and Fredholm type integral equations.
László Horváth
doaj   +2 more sources

On Bellman-Bihari integral inequalities

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1982
Integral inequalities of the Bellman-Bihari type are established for integrals involving an arbitrary number of independent variables.
Eutiquio C. Young
doaj   +1 more source

Shifted Legendre polynomials-based single and double integral inequalities with arbitrary approximation order: Application to stability of linear systems with time-varying delays

open access: yesAIMS Mathematics, 2020
This paper proposes novel single and double integral inequalities with arbitrary approximation order by employing shifted Legendre polynomials and Cholesky decomposition, and these inequalities could significantly reduce the conservativeness in stability
Deren Gong   +4 more
doaj   +1 more source

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