Results 1 to 10 of about 7,046 (301)
Generalized convexity and inequalities
Journal of Mathematical Analysis and Applications, 2007 17 ...
Matti Vuorinen
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On a generalization of close-to-convexity [PDF]
International Journal of Mathematics and Mathematical Sciences, 1983 A class Tk of analytic functions in the unit disc is defined in which the concept of close-to-convexity is generalized. A necessary condition for a function f to belong to Tk, raduis of convexity problem and a coefficient result are solved in this paper.
K. Inayat Noor
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Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities
Journal of Inequalities and Applications, 2018 In this paper, we discuss the Schur convexity, Schur geometric convexity and Schur harmonic convexity of the generalized geometric Bonferroni mean. Some inequalities related to the generalized geometric Bonferroni mean are established to illustrate the ...
Huan-Nan Shi, Shan-He Wu
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ON THE GENERALIZED CONVEXITY AND CONCAVITY
Проблемы анализа, 2015 A function ƒ : R+ → R+ is (m1, m2)-convex (concave) if ƒ(m1(x,y)) ≤ (≥) m2(ƒ(x), ƒ(y)) for all x,y Є R+ = (0,∞) and m1 and m2 are two mean functions. Anderson et al.
Bhayo B., Yin L.
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Journal of Mathematics, 2023 This paper aims to present a generalized and extended notation of convexity by unifying reciprocally strong convexity with h,s−convexity. We introduce the concept of reciprocally strongly h,s−convex functions and establish some of their fundamental ...
Yujun Wang +3 more
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Robust Nonsmooth Interval-Valued Optimization Problems Involving Uncertainty Constraints
Mathematics, 2022 In this paper, Karush-Kuhn-Tucker type robust necessary optimality conditions for a robust nonsmooth interval-valued optimization problem (UCIVOP) are formulated using the concept of LU-optimal solution and the generalized robust Slater constraint ...
Rekha R. Jaichander +3 more
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Advances in Ostrowski-Mercer Like Inequalities within Fractal Space
Fractal and Fractional, 2023 The main idea of the current investigation is to explore some new aspects of Ostrowski’s type integral inequalities implementing the generalized Jensen–Mercer inequality established for generalized s-convexity in fractal space.
Miguel Vivas-Cortez +4 more
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A general framework for path convexities [PDF]
Journal of Combinatorial Optimization, 2019 In this work we deal with the so-called path convexities, defined over special collections of paths. For example, the collection of the shortest paths in a graph is associated with the well-known geodesic convexity, while the collection of the induced paths is associated with the monophonic convexity; and there are many other examples.
João Vinicius C. Thompson +5 more
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Journal of Function Spaces, 2022 Convexity plays a vital role in pure and applied mathematics specially in optimization theory, but the classical convexity is not enough to fulfil the needs of modern mathematics; hence, it is important to study generalized notion of convexity.
Hengxiao Qi +3 more
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Generalized Increasing Convex and Directionally Convex Orders [PDF]
Journal of Applied Probability, 2010 In this paper, the componentwise increasing convex order, the upper orthant order, the upper orthant convex order, and the increasing directionally convex order for random vectors are generalized to hierarchical classes of integral stochastic order relations. The elements of the generating classes of functions possess nonnegative partial derivatives up
Denuit, Michel, Mesfioui, Mhamed
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