On Fractional Ostrowski-Mercer-Type Inequalities and Applications
Sofia Ramzan,
Muhammad Uzair Awan,
Miguel Vivas-Cortez,
Hüseyin Budak
Affiliations
Sofia Ramzan
Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
Muhammad Uzair Awan
Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
Miguel Vivas-Cortez
Escuela de Ciencias Físicas y Matemáticas, Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Católica del Ecuador, Av. 12 de Octubre 1076, Apartado, Quito 17-01-2184, Ecuador
Hüseyin Budak
Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce 81620, Turkey
The objective of this research is to study in detail the fractional variants of Ostrowski–Mercer-type inequalities, specifically for the first and second order differentiable s-convex mappings of the second sense. To obtain the main outcomes of the paper, we leverage the use of conformable fractional integral operators. We also check the numerical validations of the main results. Our findings are also validated through visual representations. Furthermore, we provide a detailed discussion on applications of the obtained results related to special means, q-digamma mappings, and modified Bessel mappings.
