Results 61 to 70 of about 236,899 (174)
Advances in Difference Equations, 2020 We introduce new operators, the so-called left and right generalized conformable fractional integral operators. By using these operators we establish new Hermite–Hadamard inequalities for s-convex functions and products of two s-convex functions in the ...
Artion Kashuri +4 more
doaj +1 more source
A Perspective Approach for Characterization of Lieb Concavity Theorem
Demonstratio Mathematica, 2016 Lieb’s extension theorem holds for generalized p + q ∈ [0; 1] and Ando convexity theorem holds for q - r > 1. In this paper, we give a complete characterization for concavity or convexity of Lieb well known theorem in the case where p + q ≥ 1 or p+q ≤ 0.
Nikoufar Ismail
doaj +1 more source
On strongly generalized convex functions
Filomat, 2017 The main objective of this article is to introduce the notion of strongly generalized convex functions which is called as strongly ?-convex functions. Some related integral inequalities of Hermite-Hadamard and Hermite-Hadamard-Fej?r type are also obtained. Special cases are also investigated.
Awan, Muhammad Uzair +3 more
openaire +2 more sources
A Generic Path Algorithm for Regularized Statistical Estimation [PDF]
, 2012 Regularization is widely used in statistics and machine learning to prevent overfitting and gear solution towards prior information. In general, a regularized estimation problem minimizes the sum of a loss function and a penalty term. The penalty term is
Wu, Yichao, Zhou, Hua
core
On Generalized Convex Functions [PDF]
Transactions of the American Mathematical Society, 1945 Beckenbach, E. F., Bing, R. H.
openaire +3 more sources
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 The concept of generalized convex contraction was introduced and studied by V. Istrăţescu and the notion of b-metric space was introduced by I. A. Bakhtin and S. Czerwik.
Georgescu Flavian
doaj +1 more source
On exponentially (h1, h2)-convex functions and fractional integral inequalities related [PDF]
Mathematica Moravica, 2020 In this work the concept of exponentially (h1, h2)-convex function is introduced and using it, the Hermite-Hadamard inequality and some bounds for the right side of this inequality, via Raina's fractional integral operator and generalized convex ...
Vivas-Cortez Miguel +2 more
doaj
Inequalities via generalized log m-convex functions
The Journal of Nonlinear Sciences and Applications, 2017 Summary: The main objective of this paper is to introduce and investigate a new class of convex functions, which is called as generalized \(\log m\)-convex function. Some new Hermite-Hadamard type of integral inequalities via generalized \(\log m\)-convex functions are obtained. Several special cases are also discussed.
Noor, Muhammad Aslam +4 more
openaire +3 more sources
Bregman f-Projection Operator with Applications to Variational Inequalities in Banach Spaces
Abstract and Applied Analysis, 2014 Using Bregman functions, we introduce the new concept of Bregman generalized f-projection operator ProjCf, g:E*→C, where E is a reflexive Banach space with dual space E*; f: E→ℝ∪+∞ is a proper, convex, lower semicontinuous and bounded from below function;
Chin-Tzong Pang +2 more
doaj +1 more source
Applied Mathematics in Science and EngineeringIn this study, midpoint-type integral inequalities for [Formula: see text]-convex function in the third sense, involving Caputo fractional derivatives and Caputo–Fabrizio integral operators, are demonstrated.
Khuram Ali Khan +4 more
doaj +1 more source