Document Type : Research Paper

Authors

• Muhammad Aamir A Ali ¹
• Shagufta Abbas ²
• Huseyin BUDAK ³
• Ghulam Murtaza ⁴

¹ School of Mathematical Sciences, Nanjing Normal university, 210023, China

² Government Degree College for women, Islam pura, Lahore, Pakistan

³ Duzce University, Turkey

⁴ University of Management Technology Lahore, Pakistan

Abstract

In this work, the authors introduce the notion of harmonically subadditive functions. We establish inequalities of Hermite-Hadamard and Fejer type for newly defined classes of functions via ordinary and Riemann-Louville fractional integrals. The results presented in this work are the refinements of several existing results. The results of this paper may stimulate further research for the researchers working in this field.

Keywords

• Subadditive functions
• Harmonically subadditive functions
• Riemann-Liouville fractional integrals
• Hermite-Hadamard and Fejer inequalities