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We give a function associated with generalized Ostrowski type inequality and its integral representation for local fractional calculus. Then, using this function and its integral representation, we establish several inequalities of generalized Ostrowski type for twice local fractional differentiable functions. We also consider some special cases of the main results which are further applied to a concrete function to yield two interesting inequalities associated with two generalized means.
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참고문헌 (19)
참고문헌 신청
H. Budak / 2015 / New inequalities for local fractional integrals / RGMIA Research Report Collection 18:13
J. Choi / 2016 / A note on fractional integral operator associated with multiindex Mittag-Leffler functions / Filomat 30(7):1931~1939
S. Erden / 2016 / Generalized Pompeiu type inequalities for local fractional integrals and its applications / Appl. Math. Comput 274:282~291
D. S. Mitrinovic / 1964 / Elementary Inequalities / P. Noordhoff Ltd.
H. Mo / Generalized Hermite-Hadamard inequalities involving local fractional integrals / arXiv:1410.1062 [math.AP]
J. Choi / 2016 / A note on fractional integral operator associated with multiindex Mittag-Leffler functions / Filomat 30(7):1931~1939
S. Erden / 2016 / Generalized Pompeiu type inequalities for local fractional integrals and its applications / Appl. Math. Comput 274:282~291
D. S. Mitrinovic / 1964 / Elementary Inequalities / P. Noordhoff Ltd.
H. Mo / Generalized Hermite-Hadamard inequalities involving local fractional integrals / arXiv:1410.1062 [math.AP]
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