Results 11 to 20 of about 27,923,310 (175)

On Quasi Convex Functions and Hadamard's Inequality [PDF]

open access: yes, 2003
In this paper we establish some inequalities of Hadamard’s type involving Godunova-Levin functions, P-functions, quasi-convex functions, Jquasi- convex functions, Wright-convex functions and Wright-quasi-convex ...
Yang, Gou-Sheng   +2 more
core   +6 more sources

p-convex functions in linear spaces [PDF]

open access: yesAnnales Polonici Mathematici, 1991
Let \(X\) and \(Y\) be partially ordered linear spaces endowed with semilinear topologies, and let \(D\) be an open and convex subset of \(X\). An operator \(f: D\to Y\) is called \(p\)-convex if \(\Delta_ h^{p+1}f(x)\geq 0\) for all \(h\in X\) and \(x\in D\) such that \(h\geq 0\) and \(x+(p+1)h\in D\), where \(\Delta^ i_ h\) denotes the \(k\)th ...
Kominek, Z., Kuczma, M.
openaire   +1 more source

The Hermite-Hadamard inequalities for $p$-convex functions

open access: yesHacettepe Journal of Mathematics and Statistics, 2021
In this paper, the Hermite-Hadamard inequality for $p-$convex function is provided. Some integral inequalities for them are also presented. Also, based on the integral and double integral of $p-$convex sets, the new functions are defined and under certain conditions, $p-$convexity of these functions are shown.
Zeynep EKEN   +3 more
openaire   +3 more sources

Hadamard Inequalities for Wright-Convex Functions [PDF]

open access: yes, 2003
In this paper, we establish serveral inequalities of Hadamard’s type for Wright-Convex ...
Yang, Gou-Sheng   +2 more
core   +4 more sources

Subclasses of p-Valent Functions Associated with Linear q-Differential Borel Operator

open access: yesMathematics, 2023
The aim of the present paper is to introduce and study some new subclasses of p-valent functions by making use of a linear q-differential Borel operator.We also deduce some properties, such as inclusion relationships of the newly introduced classes and ...
Adriana Cătaş   +2 more
doaj   +1 more source

Inequalities involving general fractional integrals of p-convex functions

open access: yesTurkish Journal of Mathematics, 2023
The Hermite-Hadamard type inequalities involving fractional integral operations for p-convex functions with respect to another function are studied. Then, the inequalities via Riemann-Liouville and Hadamard fractional integrals are presented specially.
Işık, İlknur Yeşilce   +3 more
openaire   +3 more sources

On Some New Inequalities of Hermite-Hadamard-Féjer Type Involving Convex Functions [PDF]

open access: yes, 2005
In this paper, we establish some inequalities of Hermite-Hadamard- Fejér type for m-convex functions and s-convex ...
Hwang, Shiow-Ru   +2 more
core   +3 more sources

The Hermite-Hadamard type inequalities for quasi $ p $-convex functions

open access: yesAIMS Mathematics, 2023
<abstract><p>In this paper, the Hermite-Hadamard inequality and its generalization for quasi $ p $-convex functions are provided. Also several new inequalities are established for the functions whose first derivative in absolute value is quasi $ p $-convex, which states some bounds for sides of the Hermite-Hadamard inequalities.
Sevda Sezer, Zeynep Eken
openaire   +2 more sources

A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators

open access: yesAxioms, 2023
A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq   +2 more
doaj   +1 more source

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