Harmonically (s, P)-Functions and Related Inequalities

Aydın M., Set E., İşcan İ.

Konuralp Journal of Mathematics, vol.13, no.2, pp.250-258, 2025 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 2
  • Publication Date: 2025
  • Journal Name: Konuralp Journal of Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.250-258
  • Keywords: (s,P)-function, harmonically(s,P)-function, Hermite-Hadamard inequality, s-convex function
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, we introduce and investigate the concept of harmonically (s, P)-functions and establish Hermite-Hadamard type inequalities for this class of functions. In addition, we derive new Hermite-Hadamard type inequalities for functions whose first derivatives in absolute value are harmonically (s, P)-functions, by employing Hölder’s inequality and the power-mean inequality. Furthermore, we present some new inequalities related to special means of real numbers.