Results 21 to 30 of about 7,004,346 (287)
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
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 +5 more sources
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
The Fifth Coefficient Approximation of The Inverse Strongly Convex Function [PDF]
, 2023 This paper discusses the fifth coefficient approximation of the inverse strongly convex function. Strongly convex function is a subclass of convex function. Those functions are included as univalent functions.
Daniswara, Krisna Adilia +2 more
core
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
Separation by strongly h-convex functions [PDF]
Mathematical Inequalities & Applications, 2018 Summary: The convex separation problem is studied intensively in many situation: It is answered for the cases of classical convexity, strong convexity, \(h\)-convexity and strongh-convexity with multiplicative \(h\). In the case of \(h\)-convexity, multiplicativity turns out to be considerably relaxed.
openaire +2 more sources
Higher-Order Strongly-Generalized Convex Functions [PDF]
, 2020 In this paper, we define and introduce some new concepts of the higher order strongly-generalized convex functions involving an arbitrary function. Some properties of the higher order strongly-generalized convex functions are investigated under suitable ...
Aslam Noor, Muhammad +1 more
core +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
On geodesic semi strongly E-convex functions [PDF]
, 2016 In this article, a new class of function called geodesic semi strongly E-convex functions and generalized geodesic semi strongly E-convex functions are introduced.
Wedad Saleh +3 more
core +1 more source