TY - JOUR
ID - 707159
TI - Fractional Ostrowski Type Inequalities via $\phi-\lambda-$Convex Function
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Hassan, Ali
AU - Khan, Asif R.
AD - Department of Mathematics, Shah Abdul Latif University Khairpur-66020, Pakistan.
AD - Department of Mathematics, University of Karachi, University Road, Karachi-75270, Pakistan.
Y1 - 2023
PY - 2023
VL -
IS -
SP -
EP -
KW - Ostrowski inequality
KW - Convex
KW - Power mean inequality
KW - Hölder's inequality
DO - 10.22130/scma.2022.537502.976
N2 - In this paper, we aim to state well-known Ostrowski inequality via fractional Montgomery identity for the class of $\phi-\lambda-$ convex functions. This generalized class of convex function contains other well-known convex functions from literature, allowing us to derive Ostrowski-type inequalities as specific instances. Moreover, we present Ostrowski-type inequalities for which certain powers of absolute derivatives are $\phi-\lambda-$ convex using various techniques, including Hölder's inequality and the power mean inequality. Consequently, various established results would be captured as special cases. Moreover, we provide applications in terms of special means, allowing us to derive many numerical inequalities related to special means from Ostrowski-type inequalities.
UR - https://scma.maragheh.ac.ir/article_707159.html
L1 -
ER -