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A New Advanced Class of Convex Functions with Related Results
Axioms, 2023 It is the purpose of this paper to propose a novel class of convex functions associated with strong η-convexity. A relationship between the newly defined function and an earlier generalized class of convex functions is hereby established.
Muhammad Adil Khan +3 more
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Convex Defining Functions for Convex Domains [PDF]
Journal of Geometric Analysis, 2010 21 ...
Herbig, Anne-Katrin, McNeal, Jeffery D.
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Schur-Convexity of Averages of Convex Functions [PDF]
Journal of Inequalities and Applications, 2011 The object is to give an overview of the study of Schur-convexity of various means and functions and to contribute to the subject with some new results. First, Schur-convexity of the generalized integral and weighted integral quasi-arithmetic mean is studied.
Franjić Iva +3 more
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An application of the generalized Bessel function [PDF]
Mathematica Bohemica, 2017 We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.
Hanan Darwish +2 more
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New inequalities for F-convex functions pertaining generalized fractional integrals [PDF]
Mathematica Moravica, 2020 In this paper, the authors, utilizing F-convex functions which are defined by B. Samet, establish some new Hermite-Hadamard type inequalities via generalized fractional integrals.
Budak Hüseyın +2 more
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Conditionally approximately convex functions
Demonstratio Mathematica, 2016 Let X be a real normed space, V be a subset of X and α: [0, ∞) → [0, ∞] be a nondecreasing function. We say that a function f : V → [−∞, ∞] is conditionally α-convex if for each convex combination ∑i=0ntivi$\sum\nolimits_{i = 0}^n {t_i v_i }$ of ...
Najdecki Adam, Tabor Józef
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On φ-convexity of convex functions
Linear Algebra and its Applications, 1998 The authors construct a non-trivial set \(\Phi\) of extended-real valued functions on \(R^n\) containing all affine functions, such that an extended-real valued function defined on \(R^n\) is convex if and only if it is \(\Phi\)-convex, i.e., it is the pointwise supremum of some subset of \(\Phi\). They also prove a new sandwich theorem.
Martínez-Legaz, Juan-Enrique +1 more
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Uniformly starlike functions and uniformly convex functions related to the Pascal distribution [PDF]
Mathematica Bohemica, 2021 In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk ...
Gangadharan Murugusundaramoorthy +1 more
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Some Estimates of k-Fractional Integrals for Various Kinds of Exponentially Convex Functions
Fractal and Fractional, 2023 In this paper, we aim to find unified estimates of fractional integrals involving Mittag–Leffler functions in kernels. The results obtained in terms of fractional integral inequalities are provided for various kinds of convex and related functions.
Yonghong Liu +3 more
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Convex relaxations of componentwise convex functions
Computers & Chemical Engineering, 2019 Published by Elsevier Science, Amsterdam [u.a.]
Najman, Jaromil +2 more
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