The Hermite-Hadamard type inequalities for quasi p-convex functions
AIMS Mathematics, 2023 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
Sevda Sezer, Zeynep Eken
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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
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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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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Inequalities involving general fractional integrals of p-convex functions
Turkish Journal of Mathematics, 2023 Summary: 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.
İlknur Yeşilce Işık +3 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.
Tekin Toplu +3 more
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Some Hadamard-Type Inequalities for Coordinated P-Convex Functions and Godunova-Levin Functions [PDF]
AIP Conference Proceedings, 2010 In this paper we established new Hadamard-type inequalities for functions that co-ordinated Godunova-Levin functions and co-ordinated P-convex functions, therefore we proved a new inequality involving product of convex functions and P-functions on the co-ordinates.
Ahmet Ocak Akdemi̇r, M. Emіn Özdemіr
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