Novel Approaches for Differentiable Convex Functions via the Proportional Caputo-Hybrid Operators

Gurbuz M., Akdemir A. O., Dokuyucu M. A.

FRACTAL AND FRACTIONAL, vol.6, no.5, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 5
  • Publication Date: 2022
  • Doi Number: 10.3390/fractalfract6050258
  • Journal Name: FRACTAL AND FRACTIONAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, INSPEC, Directory of Open Access Journals
  • Ondokuz Mayıs University Affiliated: No

Abstract

This study is built on the relationship between inequality theory and fractional analysis. Thanks to the new fractional operators and based on the proportional Caputo-hybrid operators, integral inequalities containing new approaches are obtained for differentiable convex functions. In the findings section, firstly, an integral identity is obtained and various integral inequalities are obtained based on this identity. The peculiarity of the results is that a hybrid operator has been used in inequality theory, which includes the derivative and integral operators together.