Results 81 to 90 of about 2,341,083 (234)

Disconjugacy and integral inequalities [PDF]

Transactions of the American Mathematical Society, 1980
The basic data in this paper are a disconjugate differential operator and an associated two-point boundary value problem. These define in a natural way a cone of functions satisfying a differential inequality with respect to the operator. By using a result of P. W. Bates and G. B.
openaire   +1 more source

A generalization of Minkowski’s inequality by Hahn integral operator

Journal of Taibah University for Science, 2018
In this paper, we use the Hahn integral operator for the description of new generalization of Minkowski’s inequality. The use of this integral operator definitely generalizes the classical Minkowski’s inequality.
Hasib Khan, Cemil Tunç, Abdulwasea Alkhazan, Barakat Ameen, Aziz Khan   +4 more
doaj   +1 more source

On an Integral Inequality [PDF]

Journal 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
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On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals

Heliyon
The main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha, Tasawar Abbas, Zhixiong Li, Amor Rebey, Affaq Ahmed, Sanaa Anjum   +5 more
doaj   +1 more source

Some Opial-type integral inequalities via (p,q) $(p,q)$-calculus

Journal of Inequalities and Applications, 2019
In this paper, we introduce a new Opial-type inequality by using (p,q) $(p,q)$-calculus and establish some integral inequalities. We find a (p,q) $(p,q)$-generalization of a Steffensens-type integral inequality and some other inequalities.
Md. Nasiruzzaman, Aiman Mukheimer, M. Mursaleen   +2 more
doaj   +1 more source

Integral Inequalities for Vector (Multi)functions

Axioms
We present some integral inequalities such as Minkowski-type and optimal bound-type for vector functions and vector multifunctions for different kinds of integrals: G-integral, Choquet-type integral, and Sugeno-type integral.
Cristina Stamate, Anca Croitoru
doaj   +1 more source

On Hilbert's Integral Inequality

Journal of Mathematical Analysis and Applications, 1998
In this paper, the Hilbert integral inequality \[ \int^\infty_0 \int^\infty_0 {f(x)g(y)\over x+y} dx dy\leq \pi\Biggl(\int^\infty_0 f^2(x)dx\Biggr)^{1/2}\Biggl(\int^\infty_0 g^2(x)dx\Biggr)^{1/2}\tag{1} \] and its equivalent form \[ \int^\infty_0 \Biggl(\int^\infty_0 {f(x)\over x+y} dx\Biggr)^2 dy\leq \pi^2\int^\infty_0 f^2(x)dx\tag{2} \] are ...
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On a New Hilbert-Hardy-Type Integral Operator and Applications

Journal of Inequalities and Applications, 2010
By applying the way of weight functions and a Hardy's integral inequality, a Hilbert-Hardy-type integral operator is defined, and the norm of operator is obtained.
Yang Bicheng, Liu Xingdong
doaj  

Refinements of Generalized Aczél's Inequality and Bellman's Inequality and Their Applications

Journal of Applied Mathematics, 2013
We give some refinements of generalized Aczél's inequality and Bellman's inequality proposed by Tian. As applications, some refinements of integral type of generalized Aczél's inequality and Bellman's inequality are given.
Jing-Feng Tian, Shu-Yan Wang
doaj   +1 more source

An Inequality of Ostrowski Type via Pompeiu's Mean Value Theorem

, 2003
An inequality providing some bounds for the integral mean via Pompeiu's mean value theorem and applications for quadrature rules and special means are ...
Dragomir, Sever Silvestru
core   +1 more source