New Approach to Fractional Milne-type Inequalities

BUDAK H.

Journal of Prime Research in Mathematics, vol.22, no.1, pp.85-92, 2026 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 1
  • Publication Date: 2026
  • Journal Name: Journal of Prime Research in Mathematics
  • Journal Indexes: Scopus, zbMATH
  • Page Numbers: pp.85-92
  • Keywords: bounded functions, integral inequalities, Milne inequality
  • Kocaeli University Affiliated: Yes

Abstract

In the literature, there are several Milne-type inequalities by using the convex functions. In this study, we establish the upper and below bounds for fractional Milne-type inequalities by using functions whose second derivatives are bounded instead of convex functions. Moreover, we present new inequalities for Riemann integrals as special cases. We also present an example and a graph to illustrate the main results.