Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional Operator

Akdemir A. O., Aslan S., Dokuyucu M. A., Celik E.

JOURNAL OF FUNCTION SPACES, vol.2023, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2023
  • Publication Date: 2023
  • Doi Number: 10.1155/2023/4310880
  • Journal Name: JOURNAL OF FUNCTION SPACES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Agricultural & Environmental Science Database, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Ondokuz Mayıs University Affiliated: No

Abstract

In this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is recalled. With the help of an integral identity which includes the Riemann-Liouville (RL) fractional integral operator, new Hadamard-type inequalities are proved for exponentially convex functions on the coordinates. Many special cases of the results are discussed.