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Öğe FRACTIONAL OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS OF BOUNDED VARIATON WITH TWO VARIABLES(Univ Miskolc Inst Math, 2020) Erden, S.; Budak, Hüseyin; Sarıkaya, Mehmet ZekiWe first establish some fractional equalities for functions of bounded variation with two variables. Then we derive some fractional Ostrowski and Trapezoid type inequalities for functions of bounded variation with two variables. In addition, we give some Midpoint inequalities as special cases of our main results.Öğe Generalized bullen type inequalities for local fractional integrals and its applications(Palestine Polytechnic University, 2020) Erden, S.; Sarıkaya, Mehmet Zeki; Lopez-Bonilla, J. L.In this paper, we establish the generalized Bullen type inequalities involving local fractional integrals on fractal sets R? (0 < ? ? 1) of real line numbers. Some applications of these inequalities in numerical integration and for special means are given. © Palestine Polytechnic University-PPU 2020.Öğe GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI’S INEQUALITY(2019) Erden, S.; Sarıkaya, Mehmet Zeki; Dragomır, S. S.Abstract. We establish some generalizations of power Pompeiu’s inequality for localfractional integral. Afterwards, these results gave some new generalized Ostrowski typeinequalities. Finally, some applications of these inequalities for generalized special meansare obtained.Öğe Pompeiu type inequalities using conformable fractional calculus and its applications(Yarmouk University, 2021) Erden, S.; Sarıkaya, Mehmet ZekiWe establish Pompeiu's mean value theorem for ?-fractional differentiable mappings. Then, some Pompeiu type inequalities including conformable fractional integrals are obtained, and the weighted versions of this Pompeiu type inequalities are presented. Finally, some applications for quadrature rules and special means are given. © 2021 Yarmouk University. All rights reserved.
