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Integral inequalities for hyperbolic type preinvex functions

AIMS Mathematics, 2021
In this work, we establish the concept of a new class of non-convex functions, namely hyperbolic type preinvex functions. Secondly few algebraic properties of this class are obtained.
Sarah Elahi , Muhammad Aslam Noor
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On inequalities of Hermite-Hadamard type via n-polynomial exponential type s-convex functions

AIMS Mathematics, 2022
In this paper, a new class of Hermite-Hadamard type integral inequalities using a strong type of convexity, known as n-polynomial exponential type s-convex function, is studied.
Muhammad Samraiz +4 more
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Some new Hardy-Hilbert-type inequalities with multiparameters

AIMS Mathematics, 2022
The purpose of this paper is to build some new Hardy-Hilbert-type inequalities with multiparameters and their equivalent forms and variants, which generalize some existing results. Similarly, the corresponding Hardy-Hilbert-type integral inequalities are
Limin Yang, Ruiyun Yang
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A New Reversed Version of a Generalized Sharp Hölder's Inequality and Its Applications

Abstract and Applied Analysis, 2013
We present a new reversed version of a generalized sharp Hölder's inequality which is due to Wu and then give a new refinement of Hölder's inequality. Moreover, the obtained result is used to improve the well-known Popoviciu-Vasić inequality.
Jingfeng Tian, Xi-Mei Hu
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Generalizations of Hölder's inequality

International Journal of Mathematics and Mathematical Sciences, 2001
Some generalized Hölder's inequalities for positive as well as negative exponents are obtained.
Wing-Sum Cheung
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Hermite-Hadamard like inequalities for fractional integral operator via convexity and quasi-convexity with their applications

AIMS Mathematics, 2022
Since the supposed Hermite-Hadamard inequality for a convex function was discussed, its expansions, refinements, and variations, which are called Hermite-Hadamard type inequalities, have been widely explored.
Jamshed Nasir +4 more
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Alternative reverse inequalities for Young's inequality [PDF]

Journal of Mathematical Inequalities, Vol.5(2011), pp.595-600, 2011
Two reverse inequalities for Young's inequality were shown by M. Tominaga, using Specht ratio. In this short paper, we show alternative reverse inequalities for Young's inequality without using Specht ratio.
arxiv +1 more source

Jessen's functional, its properties and applications

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In this paper we consider Jessen's functional, defined by means of a positive isotonic linear functional, and investigate its properties. Derived results are then applied to weighted generalized power means, which yields extensions of some recent results,
Lovričević Neda, Pečarić Josip, Krnić Mario +2 more
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Some Improvements of Hölder's Inequality on Time Scales

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
The theory and applications of dynamic derivatives on time scales have recently received considerable interest. In this paper, we define a function using the combined diamond- α integral, investigate its monotonicity and give some refinements for Hölder ...
Dinu Cristian, Stancu Mihai, Dănciulescu Daniela +2 more
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Fractional Ostrowski Type Inequalities via $\phi-\lambda-$Convex Function [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we aim to state well-known Ostrowski inequality via fractional Montgomery identity for the class of $\phi-\lambda-$ convex functions. This generalized class of convex function contains other well-known convex functions from literature ...
Ali Hassan, Asif Khan
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