Symmetric midpoint-type inequalities for (α,m)-convex functions with applications

Hussain R., Gulshan G., Rehman A., Budak H.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.22, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1142/s0219887825500197
  • Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this study, we establish a modified version of the right symmetric quantum midpoint-type inequalities via (alpha, m)-convex differentiable functions with m is an element of [0, 1]. A few fundamental inequalities like Power mean and H & ouml;lder's have been applied to acquire recent results. The newly established findings can be changed into classical midpoint-type inequalities as well as q-midpoint-type inequalities for convex functions. Additionally, we provide an example and graph that support our main findings. It is supposed that these concepts and methods may encourage new analysis.