NOVEL GENERALIZATIONS FOR GR & BULL;USS TYPE INEQUALITIES PERTAINING TO THE CONSTANT PROPORTIONAL FRACTIONAL INTEGRALS

Celik B., SET E., Akdemir A. O., ÖZDEMİR M. E.

APPLIED AND COMPUTATIONAL MATHEMATICS, vol.22, no.2, pp.275-291, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 2
  • Publication Date: 2023
  • Doi Number: 10.30546/1683-6154.22.2.2023.275
  • Journal Name: APPLIED AND COMPUTATIONAL MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.275-291
  • Keywords: Gruss Inequality, Constant Proportional, Fractional Integral, Kernel Structure Operator, GRUSS TYPE INEQUALITIES
  • Bursa Uludag University Affiliated: Yes

Abstract

In this study, motivating and new findings are proved mainly by using the strong link between fractional analysis and inequality theory. Some new and general versions of the Gruss inequality, which has an important place in the literature, are presented with the help of the constant proportional (CP) fractional integral operator. In the methodology of obtaining the findings, the kernel structure of the fractional integral operator, the properties of the operator, the properties of the functions in the hypotheses and the well-known analysis processes were taken into account.