Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated s-preinvex in the second sense

Badreddine Meftah; Abdourazek Souahi

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (2019)

  • Volume: 18, page 67-83
  • ISSN: 2300-133X

Abstract

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In this paper we establish a new fractional identity involving a function oftwo independent variables, and then we derive some fractionalHermite-Hadamard type integral inequalities for functions whose modulus ofthe mixed derivatives are co-ordinated s-preinvex in the second sense.

How to cite

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Badreddine Meftah, and Abdourazek Souahi. "Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated s-preinvex in the second sense." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 18 (2019): 67-83. <http://eudml.org/doc/296805>.

@article{BadreddineMeftah2019,
abstract = {In this paper we establish a new fractional identity involving a function oftwo independent variables, and then we derive some fractionalHermite-Hadamard type integral inequalities for functions whose modulus ofthe mixed derivatives are co-ordinated s-preinvex in the second sense.},
author = {Badreddine Meftah, Abdourazek Souahi},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
keywords = {integral inequality; co-ordinated preinvex; co-ordinated s-preinvex; Hölder inequality; power mean inequality},
language = {eng},
pages = {67-83},
title = {Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated s-preinvex in the second sense},
url = {http://eudml.org/doc/296805},
volume = {18},
year = {2019},
}

TY - JOUR
AU - Badreddine Meftah
AU - Abdourazek Souahi
TI - Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated s-preinvex in the second sense
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2019
VL - 18
SP - 67
EP - 83
AB - In this paper we establish a new fractional identity involving a function oftwo independent variables, and then we derive some fractionalHermite-Hadamard type integral inequalities for functions whose modulus ofthe mixed derivatives are co-ordinated s-preinvex in the second sense.
LA - eng
KW - integral inequality; co-ordinated preinvex; co-ordinated s-preinvex; Hölder inequality; power mean inequality
UR - http://eudml.org/doc/296805
ER -

References

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