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Properties of Exponentially m-Convex Functions

2020
In this paper, we define and introduce some new concepts of the exponentially m-convex functions involving a fixed constant m ∈ (0, 1]. We investigate several properties of the exponentially m-convex functions and discuss their relations with convex functions. Optimality conditions are characterized by a class of variational inequalities.
Muhammad Aslam Noor, Khalida Inayat Noor
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Coefficient functionals for alpha-convex functions associated with the exponential function

Boletín de la Sociedad Matemática Mexicana, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exponential trigonometric convex functions and Hermite-Hadamard type inequalities

Mathematica Slovaca, 2021
Abstract In this manuscript, we introduce and study the concept of exponential trigonometric convex functions and their some algebraic properties. We obtain Hermite-Hadamard type inequalities for the newly introduced class of functions.
Kadakal, Mahir   +3 more
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Harmonic Exponential Convex Functions and Inequalities

2019
In this chapter, we intend to introduce and study a new class of harmonic exponential h-convex functions. We show that this class includes several new and previously known classes of harmonic convex functions. We derive several Hermite–Hadamard type integral inequalities. Numerous special cases are also discussed.
Muhammad Uzair Awan   +2 more
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Some inequalities for exponentially convex functions on time scales

Mathematica Slovaca, 2021
Abstract In this paper, we introduce the notion of exponentially convex functions on time scales and then we establish Hermite-Hadamard type inequalities for this class of functions. As special case, we derive this double inequality in the context of classical notion of exponentially convex functions and convex functions.
Georgiev, Svetlin G.   +2 more
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An exponential‐function reduction method for block‐angular convex programs

Networks, 1995
AbstractAn exponential potential‐function reduction algorithm for convex block‐angular optimization problems is described. These problems are characterized byKdisjoint convex compact sets called blocks andMnon‐negative‐valued convex block‐separable coupling inequalities with a nonempty interior.
Grigoriadis, Michael D.   +1 more
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Generalized Kernels of the Toeplitz Type for Exponentially Convex Functions

Ukrainian Mathematical Journal, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hermite-Hadamard Inequalities for Exponentially Convex Functions

Applied Mathematics & Information Sciences, 2018
Muhammad Uzair Awan   +2 more
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Radial exponentially convex functions

Journal d'Analyse Mathématique, 1972
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