On Generalized Strongly p-Convex Functions of Higher Order
Journal of Mathematics, 2020 The aim of this paper is to introduce the definition of a generalized strongly p-convex function for higher order. We will develop some basic results related to generalized strongly p-convex function of higher order.
Muhammad Shoaib Saleem +4 more
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Hermite-Hadamard inequalities for differentiable p-convex functions using hypergeometric functions
Publications de l'Institut Mathematique, 2016 We derive some new integral identities for differentiable functions. Then using these auxiliary results, we obtain new Hermite-Hadamard type inequalities for differentiable p-convex functions. Some special cases are also discussed.
Noor, Muhammad Aslam +3 more
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Injectivity of sections of convex harmonic mappings and convolution theorems [PDF]
, 2015 In the article the authors consider the class ${\mathcal H}_0$ of sense-preserving harmonic functions $f=h+\overline{g}$ defined in the unit disk $|z|
A. W. Goodman +36 more
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Projections Onto Convex Sets (POCS) Based Optimization by Lifting [PDF]
, 2013 Two new optimization techniques based on projections onto convex space (POCS) framework for solving convex and some non-convex optimization problems are presented.
Bozkurt, A. +7 more
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HERMITE-HADAMARD TYPE INEQUALITIES FOR P-CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2019 In this paper, firstly the authors establish Hermite-Hadamard inequality for p-convex functions via Katugampola fractional integrals. Then a new identity involving Katugampola fractional integrals is proved. By using this identity, some new Hermite-Hadamard type inequalities for classes of p-convex functions are obtained.
Toplu, Tekin +3 more
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Strongly embedded subspaces of p-convex Banach function spaces
Positivity, 2012 J.M. Calabuig was supported by Ministerio de Economia y Competitividad (project MTM2011-23164) (Spain). J. Rodriguez was supported by Ministerio de Economia y Competitividad (project MTM2011-25377) (Spain). E. A. Sanchez-Perez was supported by Ministerio de Economia y Competitividad (project MTM2009-14483-C02-02) (Spain).
Calabuig, J. M. +2 more
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New integral inequalities involving beta function via $P$-convexity [PDF]
Miskolc Mathematical Notes, 2014 Summary: In this note we establish some estimates, involving the Euler-beta function, of the integral \(\int^b_a (x-a)^p(b-x)^qf(x)dx\) for functions when a power of the absolute value is \(P\)-convex. An extension to functions of several variables is also obtained.
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Ostrowski-type inequalities for n-polynomial $\mathscr{P}$-convex function for k-fractional Hilfer–Katugampola derivative [PDF]
Journal of Inequalities and Applications, 2021 AbstractIn this article, we develop a novel framework to study a new class of convex functions known as n-polynomial $\mathscr{P} $ P -convex functions. The purpose of this article is to establish a new generalization of Ostrowski-type integral inequalities by using a generalized k-fractional Hilfer–Katugampola ...
Samaira Naz +2 more
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Coefficient estimates for some classes of p-valent functions
International Journal of Mathematics and Mathematical Sciences, 1988 Let Ap, where p is a positive integer, denote the class of functions f(z)=zp+∑n=p+1anzn which are analytic in U={z:|z|
M. K. Aouf
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Hermite-Hadamard Type Inequalities via Exponentially (p, h)-Convex Functions
IEEE Access, 2020 Here we introduce new class of exponentially convex function namely exponentially $(p,h)$ -convex function. We find the Hermite-Hadamard type inequalities via exponentially $(p,h)$ -convex functions. We extend the various familar results.
N. Mehreen, M. Anwar
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