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Source : Carpathian Mathemati ... ✕

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Fekete-Szegö inequality for a subclass of analytic functions associated with Gegenbauer polynomials

Muhammet KAMALİ

Article | 2022 | Carpathian Mathematical Publications14 ( 2 )

In this paper, we define a subclass of analytic functions by denote (Formula Presented) satisfying the following subordinate condition (Formula Presented) where (Formula Presented). We give coefficient estimates and Fekete-Szegö inequality for functions belonging to this subclass.

The use of the isometry of function spaces with different numbers of variables in the theory of approximation of functions

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

Article | 2021 | Carpathian Mathematical Publications13 ( 3 )

In the work, we found integral representations for function spaces that are isometric to spaces of entire functions of exponential type, which are necessary for giving examples of equality of approximation characteristics in function spaces isometric to spaces of non-periodic functions. Sufficient conditions are obtained for the nonnegativity of the delta-like kernels used to construct isometric function spaces with various numbers of variables.