Results 21 to 30 of about 451,905 (308)
p-convex functions in linear spaces [PDF]
Annales 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.
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The Hermite-Hadamard inequalities for $p$-convex functions
Hacettepe 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
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Modified class of hyperbolic p-convex function with application to integral inequalities
Ain Shams Engineering JournalIn this paper, the new class of modified hyperbolic p-convex functions is introduced and some of their basic algebraic properties are presented. The motivation behind for introducing this new class is that it can solve more complicated problems, such as those with hyperbolic structures and fractional calculus, which are often inadequately handled by ...
Xiaoming Wang +4 more
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A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators
Axioms, 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
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On p-harmonic maps and convex functions [PDF]
, 2010 We prove that, in general, given a $p$-harmonic map $F:M\to N$ and a convex function $H:N\to\mathbb{R}$, the composition $H\circ F$ is not $p$-subharmonic.
Veronelli, Giona
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Some inequalities for strongly $(p,h)$-harmonic convex functions
Karpatsʹkì Matematičnì Publìkacìï, 2019 In this paper, we show that harmonic convex functions $f$ is strongly $(p, h)$-harmonic convex functions if and only if it can be decomposed as $g(x) = f(x) - c (\frac{1}{x^p})^2,$ where $g(x)$ is $(p, h)$-harmonic convex function.
M.A. Noor, K.I. Noor, S. Iftikhar
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Generalized Hermite-Hadamard inequalities for (α, η, γ, δ) − p convex functions
Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanostiIn this article, we would like to introduce another generalized class of convex functions which we call as (α, η, γ, δ)-p convex functions. This new class contains another two new classes namely, (α, η)-p convex functions of the 1st and 2nd kinds. Further, we also generalize some results related to famous Hermite-Hadamard type inequality stated in [2 ...
Muhammad Bilal +2 more
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A Comprehensive Review of the Hermite–Hadamard Inequality Pertaining to Quantum Calculus
Foundations, 2023 A review of results on Hermite–Hadamard (H-H) type inequalities in quantum calculus, associated with a variety of classes of convexities, is presented. In the various classes of convexities this includes classical convex functions, quasi-convex functions,
Muhammad Tariq +2 more
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Fractional Ostrowski-type Inequalities via $(\alpha,\beta,\gamma,\delta)-$convex Function [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we are introducing for the first time a generalized class named the class of $(\alpha,\beta,\gamma,\delta)-$convex functions of mixed kind.
Ali Hassan +3 more
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Hermite–Hadamard–Fejér type inequalities for p-convex functions
Arab Journal of Mathematical Sciences, 2017 In this paper, firstly, Hermite–Hadamard–Fejér type inequalities for p-convex functions are built. Secondly, an integral identity and some Hermite–Hadamard–Fejér type integral inequalities for p-convex functions are obtained.
Mehmet Kunt, İmdat İşcan
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