On bounds involving <i>k</i>-Appell's hypergeometric functions

作     者：Awan, Muhammad Uzair Noor, Muhammad Aslam Mihai, Marcela V. Noor, Khalida Inayat 

作者机构：Govt Coll Univ Dept Math Faisalabad Pakistan King Saud Univ Dept Math Riyadh Saudi Arabia COMSATS Inst Informat Technol Dept Math Islamabad Pakistan Romanian Math Soc Branch Bucharest Dept Sci Method Sess Acad St 14 Bucharest 010014 Romania 

出 版 物：《JOURNAL OF INEQUALITIES AND APPLICATIONS》 (J. Inequal. Appl.)

年 卷 期：2017年第2017卷第1期

页      面：118页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Distinguished Scientist Fellowship Program (DSFP)  King Saud University  Riyadh  Saudi Arabia 

主　　题：convex functions harmonic convex functions k-fractional k-Appell's hypergeometric functions inequalities 

摘      要：In this paper, we derive a new extension of Hermite-Hadamard s inequality via k-Riemann-Liouville fractional integrals. Two new k-fractional integral identities are also derived. Then, using these identities as an auxiliary result, we obtain some new k-fractional bounds which involve k-Appell s hypergeometric functions. These bounds can be viewed as new k-fractional estimations of trapezoidal and mid-point type inequalities. These results are obtained for the functions which have the harmonic convexity property. We also discuss some special cases which can be deduced from the main results of the paper.