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Publisher : Tübitak ✕Department : Matematik Bölümü ✕
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The inequalities on dual numbers and their topological structures

Olgun DURMAZ

Inequalities are frequently used in various fields of mathematics to prove theorems. The existence of inequalities contributes significantly to the foundations of such branches. In this paper, we study the properties of order relations in the system of dual numbers, which is inspired by order relations defined on real numbers. Besides, some special inequalities that are used in various fields of mathematics, such as Cauchy-Schwarz, Minkowski, and Chebyshev are studied in this framework. An example is also provided to validate our research findings. Keywords: dual numbers; dual absolute value; ...More

Article 2023 Fen Fakültesi Turkish Journal of Mathematics47 ( 5 ) 28 Views
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Fekete-Szego problem for a new subclass of analytic functions satisfying subordinate condition associated with Chebyshev polynomials

Muhammet KAMALİ

In this paper,we define a class of analytic functions F-(beta,lambda()) (H, alpha, delta, mu), satisfying the following subordinate condition associated with Chebyshev polynomials {alpha[zG' (z)/G (z)](delta) + (1 - alpha) [zG' (z)/G (z)](mu) [1 + zG '' (z)/G' (z)](1-mu)} < H (z, t), where G(z) = lambda beta z(2)f '' (z) + (lambda - beta) zf' (z) + (1 - lambda + beta) f (z) , 0

Article 2021 Fen Fakültesi Turkish Journal of Mathematics45 ( 3 ) 99 Views
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The Fekete-Szegö inequality for subclasses of analytic functions related to modified Sigmoid functions

Muhammet KAMALİ

In this paper, the authors investigate the initial coefficient bounds for a new generalized subclass of analytic functions related to Sigmoid functions. Also, the relevant connections with the famous classical Fekete?Szegö inequality for these classes are discussed.

Article 2020 Fen Fakültesi Turkish Journal of Mathematics44 ( 3 ) 40 Views
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