DSpace Arşivi :: by Yazar "Uyanik, Neslihan" değerine göre listeleniyor

Listeleniyor 1 - 3 / 3

Extremal functions for starlike functions and convex functions
(Biska Bilişim, 2017) Yildiz, İsmet; Mert, Oya; Uyanik, Neslihan; Zorlu, Neslihan
In this paper, we obtain new extremal functions for starlike functions and convex functions on the range 0??? 1/(2r+1) defined on the unit disk using analytic and univalent functions.
On the algebraic properties of the univalent functions in class S
(Biska Bilişim, 2017) Yildiz, İsmet; Sahin, Hasan; Uyanik, Neslihan
This work is shown below, the algebraic sum of the two functions selected from class S of univalent functions which is a subclass of this class A of functions f(z) satisfy the conditions analiytic in the open unit disk U={z?C:
Wirtinger-type inequalities for Caputo fractional derivatives via Taylor's formula
(Springer, 2024) Erden, Samet; Sarikaya, Mehmet Zeki; Ozdemir, Burcin Gokkurt; Uyanik, Neslihan
In this study, we firstly derive a Wirtinger-type result, which gives the connection in between the integral of square of a function and the integral of square of its Caputo fractional derivatives with the help of left-sided and right-sided fractional Taylor's Formulas. Afterward, we provide a more general inequality involving Caputo fractional derivatives for L-r norm with r>1 via Holder's inequality. Also, similar inequalities for Riemann-Liouville fractional derivatives are presented by means of a relation between Caputo fractional derivatives and Riemann-Liouville fractional derivatives.