Weighted integral inequality for the second derivative of 4-convex functions

Author(s)

Josip Pečarić, University of Zagreb
Muhammad Shoaib Saleem, University of Okara
Irshaad Ahmed, Government College University
Naveed Ahmed, Institute of Business Administration, KarachiFollow

Author Affiliation

Naveed Ahmed is Assistant Professor at the Department of Mathematical Sciences, Institute of Business Administration (IBA), Karachi

Faculty / School

Faculty of Computer Sciences (FCS)

Department

Department of Mathematical Sciences

Was this content written or created while at IBA?

Yes

Document Type

Article

Source Publication

Journal of Mathematical Inequalities

ISSN

1846-579X

Keywords

4-Convex functions, Energy estimate, Mollification

Disciplines

Analysis | Mathematics

Abstract

In this paper, we establish an energy estimate for the second derivative of 4-convex functions. Such kinds of estimates for the first derivative of 2-convex (convex) functions were obtained by Hussain, Pečarić and Shashivili [5].

Indexing Information

HJRS - X Category, Scopus, Web of Science - Science Citation Index Expanded (SCI)

Journal Quality Ranking

Impact Factor: 1.225