Results 11 to 20 of about 639,816 (328)
Approximately convex functions [PDF]
Proceedings of the American Mathematical Society, 1952 So far we have discussed the stability of various functional equations. In the present section, we consider the stability of a well-known functional inequality, namely the inequality defining convex functions: $$f\left( {\lambda x + \left( {1 - \lambda } \right)y} \right) \leqslant \lambda f\left( x \right) + \left( {1 - \lambda } \right)f\left( y \
Hyers, D. H., Ulam, S. M.
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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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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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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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Projections Onto Convex Sets (POCS) Based Optimization by Lifting [PDF]
, 2013 Two new optimization techniques based on projections onto convex space (POCS) framework for solving convex and some non-convex optimization problems are presented.
Bozkurt, A. +7 more
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Functions Like Convex Functions [PDF]
Journal of Function Spaces, 2015 The paper deals with convex sets, functions satisfying the global convexity property, and positive linear functionals. Jensen's type inequalities can be obtained by using convex combinations with the common center. Following the idea of the common center, the functional forms of Jensen's inequality are considered in this paper.
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DC Proximal Newton for Non-Convex Optimization Problems [PDF]
, 2015 We introduce a novel algorithm for solving learning problems where both the loss function and the regularizer are non-convex but belong to the class of difference of convex (DC) functions.
Flamary, Remi +2 more
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CONVEX MULTIVARIABLE TRACE FUNCTIONS [PDF]
Reviews in Mathematical Physics, 2002 For any densely defined, lower semi-continuous trace τ on a C*-algebra A with mutually commuting C*-subalgebras A1, A2, … An, and a convex function f of n variables, we give a short proof of the fact that the function (x1, x2, …, xn)→ τ (f (x1, x2, …, xn)) is convex on the space [Formula: see text].
Lieb, E.H., Pedersen, Gert Kjærgård
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Root Function and Convex Function
Communications Faculty Of Science University of Ankara, 1974 Many authors [1], [2], [3], [4] considered the problems under different weak conditions which imply the continuity of the functions. In this section, we will consider convex functions on a commutative topological group with a root function.
Bilgezadeh, A., Pellong, C.
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