Results 21 to 30 of about 383,096 (303)
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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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.
Işık, İlknur Yeşilce +3 more
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The Hermite-Hadamard type inequalities for quasi $ p $-convex functions
AIMS Mathematics, 2023 <abstract><p>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 bounds for sides of the Hermite-Hadamard inequalities.
Sevda Sezer, Zeynep Eken
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Strongly Reciprocally p-Convex Functions and Some Inequalities
Journal of Mathematics, 2020 In this paper, we generalize the concept of strong and reciprocal convexity. Some basic properties and results will be presented for the new class of strongly reciprocally p-convex functions. Furthermore, we will discuss the Hermite–Hadamard-type, Jensen-
Hao Li +3 more
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Convex Analysis for Minimizing and Learning Submodular Set Functions [PDF]
, 2013 The connections between convexity and submodularity are explored, for purposes of minimizing and learning submodular set functions. First, we develop a novel method for minimizing a particular class of submodular functions, which can be expressed as a
Peter Stobbe, Stobbe, Peter
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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.
Ozdemir, M. Emin, Akdemir, A. Ocak
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On new fractional integral inequalities for p-convexity within interval-valued functions [PDF]
Advances in Difference Equations, 2020 AbstractThis work mainly investigates a class of convex interval-valued functions via the Katugampola fractional integral operator. By considering thep-convexity of the interval-valued functions, we establish some integral inequalities of the Hermite–Hadamard type and Hermite–Hadamard–Fejér type as well as some product inequalities via the Katugampola ...
Thabet Abdeljawad +3 more
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Properties of certain p-valently convex functions
International Journal of Mathematics and Mathematical Sciences, 2003 A subclass 𝒞p(λ,μ)(p∈ℕ ...
Dinggong Yang, Shigeyoshi Owa
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Some Hermite–Hadamard type inequalities in the class of hyperbolic p-convex functions [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019 11 ...
Silvestru Sever Dragomir +1 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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