Results 11 to 20 of about 23,441 (261)
On geodesic strongly E-convex sets and geodesic strongly E-convex functions [PDF]
Journal of Inequalities and Applications, 2015 In this article, geodesic E-convex sets and geodesic E-convex functions on a Riemannian manifold are extended to the so-called geodesic strongly E-convex sets and geodesic strongly E-convex functions. Some properties of geodesic strongly E-convex sets are also discussed.
Adem Kılıçman, Wedad Saleh
openaire +2 more sources
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
On generalized strongly modified h-convex functions [PDF]
Journal of Inequalities and Applications, 2020 AbstractWe derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequalities for this class. The crucial fact is that this extended class has awesome properties similar to those of convex functions.
Taiyin Zhao +4 more
openaire +3 more sources
Acceleration of the PDHGM on Partially Strongly Convex Functions [PDF]
Journal of Mathematical Imaging and Vision, 2016 We propose several variants of the primal-dual method due to Chambolle and Pock. Without requiring full strong convexity of the objective functions, our methods are accelerated on subspaces with strong convexity. This yields mixed rates, O ( 1 / N 2 ) with respect to initialisation and O(1 / N) with respect to the dual sequence, and the residual part ...
Tuomo Valkonen, Thomas Pock
openaire +4 more sources
Strongly ( η , ω ) $(\eta ,\omega )$ -convex functions with nonnegative modulus
Journal of Inequalities and Applications, 2020 We introduce a new class of functions called strongly ( η , ω ) $(\eta,\omega)$ -convex functions. This class of functions generalizes some recently introduced notions of convexity, namely, the η-convex functions and strongly η-convex functions.
Ana M. Tameru +2 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
ON THE NEIGHBOURHOODS OF STRONGLY CONVEX FUNCTIONS
Tamkang Journal of Mathematics, 1996 In this paper neighbourhoods of strongly convex and strongly starlike function are determined.
Parvatham, R., Premabai, Millicent
openaire +3 more sources
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
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