Title of article :
GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI’S INEQUALITY
Author/Authors :
ERDEN, S Department of Mathematics - Faculty of Science - Bartın University - Bartin, Turkey , SARIKAYA, M. Z Department of Mathematics - Faculty of Science and Arts - Duzce University - Konuralp Campus - Duzce, Turkey , DRAGOMIR, S. S Mathematics - School of Engineering & Science - Victoria University - Melbourne City, Australia
Abstract :
We establish some generalizations of power Pompeiu’s inequality for local
fractional integral. Afterwards, these results gave some new generalized Ostrowski type
inequalities. Finally, some applications of these inequalities for generalized special means
are obtained.
Keywords :
Ostrowski’s inequality , Pompeiu’s mean value theorem , Local fractional integral , Fractal space , Special Means
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
