Some new inequalities of Hermite-Hadamard type fors-convex functions with applications
Muhammad Adil Khan; Yuming Chu; Tahir Ullah Khan; Jamroz Khan
Open Mathematics (2017)
- Volume: 15, Issue: 1, page 1414-1430
- ISSN: 2391-5455
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topMuhammad Adil Khan, et al. "Some new inequalities of Hermite-Hadamard type fors-convex functions with applications." Open Mathematics 15.1 (2017): 1414-1430. <http://eudml.org/doc/288455>.
@article{MuhammadAdilKhan2017,
abstract = {In this paper, we present several new and generalized Hermite-Hadamard type inequalities for s-convex as well as s-concave functions via classical and Riemann-Liouville fractional integrals. As applications, we provide new error estimations for the trapezoidal formula.},
author = {Muhammad Adil Khan, Yuming Chu, Tahir Ullah Khan, Jamroz Khan},
journal = {Open Mathematics},
keywords = {s-convex function; Hermite-Hadamard inequality; Hölder inequality; Trapezoidal formula},
language = {eng},
number = {1},
pages = {1414-1430},
title = {Some new inequalities of Hermite-Hadamard type fors-convex functions with applications},
url = {http://eudml.org/doc/288455},
volume = {15},
year = {2017},
}
TY - JOUR
AU - Muhammad Adil Khan
AU - Yuming Chu
AU - Tahir Ullah Khan
AU - Jamroz Khan
TI - Some new inequalities of Hermite-Hadamard type fors-convex functions with applications
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1414
EP - 1430
AB - In this paper, we present several new and generalized Hermite-Hadamard type inequalities for s-convex as well as s-concave functions via classical and Riemann-Liouville fractional integrals. As applications, we provide new error estimations for the trapezoidal formula.
LA - eng
KW - s-convex function; Hermite-Hadamard inequality; Hölder inequality; Trapezoidal formula
UR - http://eudml.org/doc/288455
ER -
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