On some new inequalities of Hermite Hadamard types for hyperbolic p-convex functions
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2019 Summary: In this paper, we show that the power function \(f^n(x)\) is hyperbolic \(p\)-convex function. Furthermore, we establish some new integral inequalities for higher powers of hyperbolic \(p\)-convex functions. Also, some applications for special means are provided as well.
Zeinab M. Yehia +2 more
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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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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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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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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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Geometric convexity of the generalized sine and the generalized hyperbolic sine [PDF]
, 2013 In the paper, the authors prove that the generalized sine function $\sin_{p,q}(x)$ and the generalized hyperbolic sine function $\sinh_{p,q}(x)$ are geometrically concave and geometrically convex, respectively.
Jiang, Wei-Dong, Qi, Feng
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Some Ostrowski type inequalities for p-convex functions via generalized fractional integrals [PDF]
Journal of Mathematical Inequalities, 2019 Summary: In this paper, some new Ostrowski type inequalities for generalized fractional integrals are obtained. An identity via generalized fractional integrals and differentiable mappings, together with a new concept are used.
Thatsatian, Arisa +2 more
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Some New Inequalities for p‐Convex Functions via a K‐Fractional Conformable Integral
Journal of Mathematics, 2022 The intention of this paper is to develop some new Hermite–Jensen–Mercer type inequalities for p−convex functions via k−fractional conformable integrals. Several existing results are also discussed which can be deduced from our results.
Yan Dou +3 more
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