Results 1 to 10 of about 236,899 (174)
Journal of Inequalities and Applications, 2022 In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained.
Saad Ihsan Butt +3 more
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Generalized r-Convex Functions and Integral Inequalities
International Journal of Analysis and Applications, 2018 In this paper, we introduce and investigate a new class of generalized convex functions, known as generalized $r$-convex function. Some new Hermite-Hadamard integral inequalities via generalized $r$-convex functions have been established.
Muhammad Aslam Noor +2 more
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Axioms, 2023 The aim of this work is to elaborate and define the idea of refined convex function of the Raina type. In addition, we have attained some associated properties in the manner of the newly introduced idea.
Muhammad Tariq +2 more
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Journal of Mathematics, 2021 The stochastic process is one of the important branches of probability theory which deals with probabilistic models that evolve over time. It starts with probability postulates and includes a captivating arrangement of conclusions from those postulates ...
Fangfang Ma +2 more
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Quasi Semi and Pseudo Semi (p,E)-Convexity in Non-Linear Optimization Programming
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 The class of quasi semi -convex functions and pseudo semi -convex functions are presented in this paper by combining the class of -convex functions with the class of quasi semi -convex functions and pseudo semi -convex functions, respectively.
Revan I. Hazim, Saba N. Majeed
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Generalized Alpha‐Close‐to‐Convex Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2009 We define the classes Gβ(α, k, γ) as follows: f ∈ Gβ(α, k, γ) if and only if, for z ∈ E = {z ∈ ℂ : |z| < 1}, |arg{(1 − α2z2)f′(z)/ e−iβϕ′(z)}| ≤ γπ/2, 0 < γ ≤ 1; α ∈ [0, 1]; β ∈ (−π/2, π/2), where ϕ is a function of bounded boundary rotation.
K. Inayat Noor +2 more
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Unification of Generalized and p-Convexity
Journal of Function Spaces, 2020 In the present note, we will introduce the definition of generalized p convex function. We will investigate some properties of generalized p convex function.
Chahn Yong Jung +5 more
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Generalized integral inequalities for m–convex functions [PDF]
AIP Conference Proceedings, 2016 In this paper, we prove some new inequalities for the functions whose derivatives in absolute values are m-convex. We obtain generalized inequalities which have the property of giving Hadamard, Ostrowski and Simpson type results by changing parameter.
Ozdemir, M. Emin, Ekinci, Alper
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Characterizations and decomposition of strongly Wright-convex functions of higher order [PDF]
Opuscula Mathematica, 2015 Motivated by results on strongly convex and strongly Jensen-convex functions by R. Ger and K. Nikodem in [Strongly convex functions of higher order, Nonlinear Anal.
Attila Gilányi +3 more
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Journal of Mathematics, 2020 In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Chahn Yong Jung +4 more
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