Results 21 to 30 of about 11,297,589 (365)
Some new Simpson's type inequalities for coordinated convex functions in quantum calculus
Mathematical methods in the applied sciences, 2020 In this article, by using the notion of newly defined q1q2 derivatives and integrals, some new Simpson's type inequalities for coordinated convex functions are proved. The outcomes raised in this paper are extensions and generalizations of the comparable
M. Ali +3 more
semanticscholar +1 more source
An extension of the proximal point algorithm beyond convexity [PDF]
Journal of Global Optimization, 2021, 2021 We introduce and investigate a new generalized convexity notion for functions called prox-convexity. The proximity operator of such a function is single-valued and firmly nonexpansive. We provide examples of (strongly) quasiconvex, weakly convex, and DC (difference of convex) functions that are prox-convex, however none of these classes fully contains ...
arxiv +1 more source
New Hermite–Hadamard type inequalities for n-polynomial harmonically convex functions
Journal of Inequalities and Applications, 2020 In the article, we introduce a class of n-polynomial harmonically convex functions, establish their several new Hermite–Hadamard type inequalities which are the generalizations and variants of the previously known results for harmonically convex ...
M. U. Awan +4 more
semanticscholar +1 more source
The Boosted Difference of Convex Functions Algorithm for Nonsmooth Functions
SIAM Journal on Optimization, 2020 The boosted difference of convex functions algorithm (BDCA) was recently proposed for minimizing smooth difference of convex (DC) functions.
F. J. A. Artacho, P. Vuong
semanticscholar +1 more source
Quasi Semi and Pseudo Semi (p,E)-Convexity in Non-Linear Optimization Programming
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 The class of quasi semi -convex functions and pseudo semi -convex functions are presented in this paper by combining the class of -convex functions with the class of quasi semi -convex functions and pseudo semi -convex functions, respectively.
Revan I. Hazim, Saba N. Majeed
doaj +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
On Caputo fractional derivatives via exponential \(s,m\)-convex functions
Engineering and Applied Science Letters, 2020 In this paper, we establish several integral inequalities including Caputo fractional derivatives for exponential \(s,m\)-convex functions. By using convexity for exponential \(s,m\)-convex functions of any positive integer order differentiable function ...
G. Farid, M. Nadeem, S. Butt
semanticscholar +1 more source
Fractional Ostrowski-type Inequalities via $(\alpha,\beta,\gamma,\delta)-$convex Function [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we are introducing for the first time a generalized class named the class of $(\alpha,\beta,\gamma,\delta)-$convex functions of mixed kind.
Ali Hassan +3 more
doaj +1 more source
Strongly convex functions, Moreau envelopes and the generic nature of convex functions with strong minimizers [PDF]
, 2015 In this work, using Moreau envelopes, we define a complete metric for the set of proper lower semicontinuous convex functions. Under this metric, the convergence of each sequence of convex functions is epi-convergence.
Planiden, Chayne, Wang, Xianfu
core +3 more sources
On the singularities of convex functions [PDF]
Manuscripta Mathematica, 1992 Given a semi-convex functionu: ω⊂R n→R and an integerk≡[0,1,n], we show that the set ∑k defined by $$\Sigma ^k = \left\{ {x \in \Omega :dim\left( {\partial u\left( x \right)} \right) \geqslant k} \right\}$$ is countably ℋn-k i.e., it is ...
Alberti G, AMBROSIO, Luigi, Cannarsa P.
openaire +2 more sources