Advances in Trigonometric and Hyperbolic Inequalities Using Mittag-Leffler Function Approaches

Advances in Trigonometric and Hyperbolic Inequalities

  • Seyyed Hossein Jafari Petroudi Payame Noor University
  • Arsalan Hojjat Ansari

Resumo

In this research, we investigate significant inequalities related to trigonometric and hyperbolic functions. We introduce new definitions of trigonometric and hyperbolic sinc and tanc functions grounded in the Mittag-Leffler function framework. Building on these, we establish several important inequalities involving
the nested function Hpj. Additionally, we provide a solution to a previously open problem in this area, contributing novel insights to the theory of special functions and inequalities.

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Publicado
2026-03-15
Seção
Special Issue: Advances in Nonlinear Analysis and Applications