Results 11 to 20 of about 225,326 (278)
On strongly convex functions [PDF]
Carpathian Journal of Mathematics, 2016 The main results of this paper give a connection between strong Jensen convexity and strong convexity type inequalities. We are also looking for the optimal Takagi type function of strong convexity. Finally a connection will be proved between the Jensen error term and an useful error function.
Házy, Attila, Makó, Judit
openaire +1 more source
Journal of Inequalities and Applications, 2023 In this paper, we investigate the properties of a newly introduced class of functions, strongly reciprocally (p, h)-convex functions of higher order. We establish Hermite–Hadamard-type and Fejér-type inequalities for this class of functions. Additionally,
Han Li +3 more
doaj +1 more source
Strongly Convex Functions of Higher Order Involving Bifunction
Mathematics, 2019 Some new concepts of the higher order strongly convex functions involving an arbitrary bifuction are considered in this paper. Some properties of the higher order strongly convex functions are investigated under suitable conditions.
Bandar B. Mohsen +3 more
doaj +1 more source
Journal of Mathematics, 2021 Convexity theory becomes a hot area of research due to its applications in pure and applied mathematics, especially in optimization theory. The aim of this paper is to introduce a broader class of convex functions by unifying geometrically strong convex ...
Xishan Yu +3 more
doaj +1 more source
Semi Strongly E-Convex Functions [PDF]
Journal of Mathematics and Statistics, 2005 In this study a new class of functions, called semi strongly E-convex functions, and generalized semi strongly E-convex functions are defined .We discuss some their basic properties and obtain sufficient optimality criteria for nonlinear programming problems involving these functions.
E.A. Youness, Tarek Emam
openaire +1 more source
On strongly starlike and strongly convex functions with bounded radius and bounded boundary rotation
Journal of Inequalities and Applications, 2020 In this paper, we introduce and investigate new classes of normalized analytic functions in an open unit disk with bounded radius and bounded boundary rotation by using the subordination.
Sabir Hussain, Khalil Ahmad
doaj +1 more source
Journal of Function Spaces, 2021 In this paper, we study integral inequalities which will provide refinements of bounds of unified integral operators established for convex and α,m-convex functions.
Chahn Yong Jung +3 more
doaj +1 more source
Phase retrieval for characteristic functions of convex bodies and reconstruction from covariograms [PDF]
, 2010 We propose strongly consistent algorithms for reconstructing the characteristic function 1_K of an unknown convex body K in R^n from possibly noisy measurements of the modulus of its Fourier transform \hat{1_K}.
Bianchi, Gabriele +2 more
core +3 more sources
Hermite-Hadamard and Schur-Type Inequalities for Strongly h-Convex Fuzzy Interval Valued Functions
Journal of Function Spaces, 2022 The concept of fuzzy theory was developed in 1965 and becomes an acknowledged research subject in both pure and applied mathematics and statistics, showing how this theory is highly applicable and productive in many applications. In the present study, we
Putian Yang, Shiqing Zhang
doaj +1 more source
Strongly hyperbolically convex functions
Journal of Mathematical Analysis and Applications, 2007 Let \(C(w_1,w_2,w_3)\) denote the circle in \(\widehat{\mathbb C}\) through \(w_1,w_2,w_3\), and let \(\widehat{w_1w_2}\) denote one of the two arcs between \(w_1,w_2\) belonging to \(C(w_1,w_2,w_3)\). The authors prove that a domain \(\Omega\) in the Riemann sphere with no antipodal points is spherically convex if and only if for any \(w_1,w_2,w_3\in \
Cruz, Lorena, Mejía, Diego
openaire +2 more sources