Results 1 to 10 of about 1,591,834 (270)

On Grüss type inequality for a hypergeometric fractional integral

Le Matematiche, 2011
Aim of the present paper is to investigate a new integral inequality of Grüss type for a hypergeometric fractional integral. Two main results are proved, the first one deals with Grüss type inequality using the hypergeometric fractional integral.
Shyam L. Kalla, Alka Rao
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Some Carleman-type inequalities in ( p , q ) $(p,q)$ -calculus

Journal of Inequalities and Applications
In this paper, we construct ( p , q ) $\left (p,q\right )$ -type Jessen’s inequality using the properties of convex functions. On this basis, we generalize the classical Carleman integral-type inequality in ( p , q ) $\left (p,q\right )$ -calculus and ...
Jiao Yu, Lin Han
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Bellman Type Inequality for Sugeno Integrals [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we prove  Bellman type inequality for Sugeno integral and generalize it for pseudo-integrals. Furthermore, we generalize the Bellman's inequality in abstract spaces.
Bayaz Daraby, Ramin Mosalman
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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 ...
openaire   +2 more sources

A Generalization on Some New Types of Hardy-Hilbert’s Integral Inequalities

Journal of Function Spaces and Applications, 2013
Sulaiman presented, in 2008, new kinds of Hardy-Hilbert’s integral inequality in which the weight function is homogeneous. In this paper, we present a generalization on the kinds of Hardy-Hilbert’s integral inequality.
Banyat Sroysang
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Generalized Steffensen Inequalities for Local Fractional Integrals

International Journal of Analysis and Applications, 2017
Firstly we give a important integral inequality which is generalized Steffensen’s inequality. Then, we establish weighted version of generalized Steffensen’s inequality for local fractional integrals. Finally, we obtain several inequalities related these
Mehmet Zeki Sarikaya, Tuba Tunc, Samet Erden   +2 more
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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
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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
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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
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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
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