Results 11 to 20 of about 770,647 (275)
Generalized convexity and inequalities
Journal of Mathematical Analysis and Applications, 2007 17 ...
Matti Vuorinen
exaly +4 more sources
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
doaj +4 more sources
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.
doaj +5 more sources
Logarithmic Convexity of the One-Parameter Mean Values [PDF]
, 2004 In this article, the logarithmic convexity of the one-parameter mean values J(r) and the monotonicity of the product J(r)J(−r) with r Є R are presented. Some more general results are established.
Qi, Feng, Cheung, Wing Sum
core +6 more sources
Schur-convexity of the Extended Mean Values [PDF]
, 2001 In this article, the Schur-convexity of the extended mean values are proved. Consequently, an inequality between the logarithmic mean values and the identity (exponential) mean values is ...
Qi, Feng
core +6 more sources
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
doaj +1 more source
Convexity of Bẻzier nets on sub-triangles [PDF]
, 1990 This note generalizes a result of Goodman[3], where it is shown that the convexity of Bèzier nets defined on a base triangle is preserved on sub-triangles obtained from a mid-point subdivision process.
Gregory, JA, Zhou, J
core +6 more sources
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
doaj +1 more source
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
doaj +1 more source
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
openaire +5 more sources