TY - JOUR
T1 - Fractional version of Hermite-Hadamard-Mercer inequalities for convex stochastic processes via Ψk -Riemann-Liouville fractional integrals and its applications
AU - Vivas-Cortez, Miguel
AU - Saleem, Muhammad Shoaib
AU - Sajid, Sana
N1 - Publisher Copyright:
© 2022. NSP Natural Sciences Publishing Cor.
PY - 2022/9
Y1 - 2022/9
N2 - In the present paper, authors derive some new Hermite-Hadamard-Mercer type inequalities for convex stochastic processes using Ψk -Riemann-Liouville fractional integrals. Furthermore, to civilized the paper we prove different lemmas to present unique refinements of Hermite-Hadamard-Mercer type inequalities. Also, we discuss some special cases of our proven results. These new inequalities yield several generalizations of previously known results. Finally, we develop some applications to special means.
AB - In the present paper, authors derive some new Hermite-Hadamard-Mercer type inequalities for convex stochastic processes using Ψk -Riemann-Liouville fractional integrals. Furthermore, to civilized the paper we prove different lemmas to present unique refinements of Hermite-Hadamard-Mercer type inequalities. Also, we discuss some special cases of our proven results. These new inequalities yield several generalizations of previously known results. Finally, we develop some applications to special means.
KW - Convex stochastic processes
KW - Hermite-hadamard inequality
KW - Hölder inequality
KW - Improved power-mean inequality
KW - Jensen inequality
KW - Jensen-mercer inequality
KW - Ψ -riemann-liouville fractional integrals
UR - http://www.scopus.com/inward/record.url?scp=85136571696&partnerID=8YFLogxK
U2 - 10.18576/amis/160505
DO - 10.18576/amis/160505
M3 - Article
AN - SCOPUS:85136571696
SN - 1935-0090
VL - 16
SP - 695
EP - 709
JO - Applied Mathematics and Information Sciences
JF - Applied Mathematics and Information Sciences
IS - 5
ER -