Results 51 to 60 of about 11,182,581 (267)
An Improved Convergence Analysis for Decentralized Online Stochastic Non-Convex Optimization [PDF]
IEEE Transactions on Signal Processing, 2020 In this paper, we study decentralized online stochastic non-convex optimization over a network of nodes. Integrating a technique called gradient tracking in decentralized stochastic gradient descent, we show that the resulting algorithm, GT-DSGD, enjoys ...
Ran Xin, U. Khan, S. Kar
semanticscholar +1 more source
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.
Roqia Ghulam +3 more
openaire +4 more sources
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
doaj +1 more source
Ostrowski type inequalities via some exponentially convex functions with applications
AIMS Mathematics, 2020 In this paper, we obtain ostrowski type inequalities for exponentially convex function and exponentially s-convex function in second sense. Applications to some special means are also obtain. Here we extend the results of some previous investigations.
Naila Mehreen, Matloob Anwar
doaj +1 more source
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
doaj +1 more source
AIMS Mathematics, 2020 The main objective of this paper is to compute refinements of bounds of the generalized fractional integral operators containing an extended generalized Mittag-Leffler function in their kernels.
Ghulam Farid +4 more
doaj +1 more source
Smooth convex extensions of convex functions [PDF]
Calculus of Variations and Partial Differential Equations, 2019 Final ...
Azagra, Daniel, Mudarra, Carlos
openaire +4 more sources
New Generalization of Geodesic Convex Function
Axioms, 2023 As a generalization of a geodesic function, this paper introduces the notion of the geodesic φE-convex function. Some properties of the φE-convex function and geodesic φE-convex function are established.
Ohud Bulayhan Almutairi, Wedad Saleh
doaj +1 more source
Infima of convex functions [PDF]
Transactions of the American Mathematical Society, 1989 Let Γ ( X ) \Gamma (X) be the lower semicontinuous, proper, convex functions on a real normed linear space X X . We produce a simple description of what is, essentially, the weakest topology on Γ ( X ) \Gamma (X) such that the value ...
openaire +1 more source
On the Subdifferentiability of Convex Functions [PDF]
Proceedings of the American Mathematical Society, 1965 (Thus the subgradients of f correspond to the nonvertical supporting hyperplanes to the convex set consisting of all the points of E (DR lying above the graph of f.) The set of subgradients of f at x is denoted by of(x). If of(x) is not empty, f is said to be subdifferenticable at x.
A. Brøndsted, R. T. Rockafellar
openaire +2 more sources