On n-polynomial p-convex functions and some related inequalities [PDF]
Advances in Difference Equations, 2020 In this paper, we introduce a new class of convex functions, so-called n-polynomial p-convex functions. We discuss some algebraic properties and present Hermite–Hadamard type inequalities for this generalization.
Choonkil Park +4 more
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Hermite-Hadamard type inequalities for p-convex functions via fractional integrals [PDF]
Moroccan Journal of Pure and Applied Analysis, 2017 In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms.
Kunt Mehmet, İşcan İmdat
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Hermite-Hadamard Type Inequalities for p-Convex Functions
International Journal of Analysis and Applications, 2016 In this paper, the author establishes some new Hermite-Hadamard type inequalities for p-convex functions. Some natural applications to special means of real numbers are also given.
İmdat İşcan
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Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators
Journal of Mathematics, 2021 Convex functions play an important role in pure and applied mathematics specially in optimization theory. In this paper, we will deal with well-known class of convex functions named as generalized p-convex functions.
Changyue Chen +2 more
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A Note on Generalized Strongly p-Convex Functions of Higher Order
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2022 Generalized strongly -convex functions of higher order is a new concept of convex functions which introduced by Saleem et al. in 2020. The Schur type inequality for generalized strongly -convex functions of higher order also studied by them.
Corina Karim, Ekadion Maulana
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Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications [PDF]
Journal of Inequalities and Applications, 2019 In this paper, we introduce the notion of exponentially p-convex function and exponentially s-convex function in the second sense. We establish several Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex ...
Naila Mehreen, Matloob Anwar
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New fractional approaches for n-polynomial P-convexity with applications in special function theory [PDF]
Advances in Difference Equations, 2020 Inequality theory provides a significant mechanism for managing symmetrical aspects in real-life circumstances. The renowned distinguishing feature of integral inequalities and fractional calculus has a solid possibility to regulate continuous issues ...
Shu-Bo Chen +4 more
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Some new Simpson-type inequalities for generalized p-convex function on fractal sets with applications [PDF]
Advances in Difference Equations, 2020 The present article addresses the concept of p-convex functions on fractal sets. We are able to prove a novel auxiliary result. In the application aspect, the fidelity of the local fractional is used to establish the generalization of Simpson-type ...
Thabet Abdeljawad +4 more
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Some integral inequalities for p-convex functions
Filomat, 2016 In this paper, we consider the class of p-convex functions. We derive some new integral inequalities of Hermite-Hadamard and Simpson type for differentiable p-convex functions using two new integral identities.
Muhammad Noor +3 more
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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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