Inequalities of Hermite-Hadamard Type for h-Convex Functions on Linear Spaces

By Sever Silvestru Dragomir. 2015

125 citations recorded by the source corpus.

Some inequalities of Hermite-Hadamard type for h-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well.

Subfields: Applied Mathematics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/f2069ab2b94bcbc2e6daf3b56d040b87ae974eef

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Y. Chu
2. M. Adil Khan
3. Syed Zaheer Ullah
4. Zareen A. Khan
5. Miao-Kun Wang
6. Saima Rashid
7. Tie-hong Zhao
8. Wei-Mao Qian

In Statistics and Probability

1. M. Adil Khan
2. Y. Chu
3. Syed Zaheer Ullah

Citations in the corpus

• Integral Inequalities Involving Strongly Convex Functions (2018, background): “Some new generalized concepts in this point of view are quasiconvex [1], strongly convex [2], approximately convex [3], logarithmically convex [4], midconvex functions [5], pseudoconvex [6], φ-convex [7], λconvex [8], h-convex [9], delta-convex [10], Schur convex [11– 15], and others [16–19].”
• Integral Majorization Type Inequalities for the Functions in the Sense of Strong Convexity (2019, background): “In recent years there is a growing interest in generalized convex functions (such as quasi-convex function [1], strongly convex function [2–4], s-convex function [5], approximately convex function [6], logarithmically convex function [7, 8], midconvex function [9], pseudo-convex function [10], φ-con”