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Found: 8 Piece 0.001 sn
Publication year : 2019 ✕Researcher : Fahreddin ABDULLAYEV ✕
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Prof. Dr. Fahreddin ABDULLAYEVFen Fakültesi
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Uniform and Pointwise Estimates for Algebraic Polynomials in Regions with Interior and Exterior Zero Angles

Fahreddin ABDULLAYEV

In this study, we give some estimates on the Nikolskii-type inequalities for complex algebraic polynomials in regions with piecewise smooth curves having exterior and interior zero angles.

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 2 ) 105 Views
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The uniform and pointwise estimates for polynomials on the weighted Lebesgue spaces in the general regions of complex plane

Fahreddin ABDULLAYEV

The estimation of the modulus of algebraic polynomials on the boundary contour with weight function, having some singularities, with respect to the their quasinorm, on the weighted Lebesgue space was studied in this current work.

Article 2019 Fen Fakültesi Hacettepe Journal of Mathematics and Statistics48 ( 1 ) 63 Views
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Exact estimates for Faber polynomials and for norm of Faber operator

Fahreddin ABDULLAYEV

Exact estimates for Faber polynomials, norm of Faber operator, and -norm of the generating function for the sequence of Faber operator of univalent functions of class sigma are found. The description of continua of the complex plane for which the norm of Faber operator take the value 1 or 3 is obtained.

Article 2019 Fen Fakültesi Complex Variables and Elliptic Equations65 ( 2 ) 53 Views
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Uniform Convergence of the Generalized Bieberbach Polynomials in Regions with Simultaneously Exterior and Interior Zero Angles

Fahreddin ABDULLAYEV

We study the uniform and mean convergence of the generalized Bieberbach polynomials in regions having a finite number of interior and exterior zero zero angles.

Article 2019 Fen Fakültesi Complex Analysis and Operator Theory13 ( 6 ) 66 Views
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Bernstein-Walsh-Type Polynomial Inequalities in Domains Bounded by Piecewise Asymptotically Conformal Curve with Nonzero Inner Angles in the Bergman Space

Fahreddin ABDULLAYEV | Dağıstan ŞİMŞEK

We continue our investigation of the order of growth of the modulus of an arbitrary algebraic polynomial in the Bergman weight space, where the contour and weight functions have certain singularities. In particular, we deduce a Bernstein-Walsh-type pointwise estimate for algebraic polynomials in unbounded domains with piecewise asymptotically conformal curves with nonzero inner angles in the Bergman weight space.

Article 2019 Fen Fakültesi Ukrainian Mathematical Journal71 ( 5 ) 63 Views
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Exact Constants in Direct and Inverse Approximation Theorems for Functions of Several Variables in the Spaces S-p

Fahreddin ABDULLAYEV

In the paper, exact constants in direct and inverse approximation theorems for functions of several variables are found in the spaces S-p. The equivalence between moduli of smoothness and some K-functionals is also shown in the spaces S-p.

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 5 ) 124 Views
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Best Approximation of Holomorphic Functions from Hardy Space in Terms of Taylor Coefficients

Fahreddin ABDULLAYEV

We describe the set of holomorphic functions from the Hardy space H-q, 1

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 5 ) 27 Views
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Direct and inverse approximation theorems of functions in the Orlicz type spaces S-M

Fahreddin ABDULLAYEV

In the Orlicz type spaces S-M, we prove direct and inverse approximation theorems in terms of the best approximations of functions and moduli of smoothness of fractional order. We also show the equivalence between moduli of smoothness and Peetre K-functionals in the spaces S-M. (C) 2019 Mathematical Institute Slovak Academy of Sciences

Article 2019 Fen Fakültesi Mathematica Slovaca69 ( 6 ) 60 Views
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