Open AccessEstimations of Upper Bounds for -th Order Differentiable Functions Involving -Riemann–Liouville Integrals via -Preinvex Functions
Author(s) -
Sadia Talib,
Muhammad Uzair Awan
Publication year - 2021
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2021/6882882
Subject(s) - differentiable function , mathematics , order (exchange) , riemann hypothesis , pure mathematics , economics , finance
A new fractional integral identity is obtained involving n -th order differentiable functions and χ -Riemann–Liouville fractional integrals. Then, some associated estimates of upper bounds involving γ -preinvex functions are obtained. In order to relate some unrelated results, several special cases are discussed.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom