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Bulunan: 38 Adet 0.000 sn
Araştırmacılar : Fahreddin ABDULLAYEV ✕
Koleksiyon [1]
Araştırmacılar [6]
BM Sürdürülebilir Kalkınma [3]
Fakültesi / Enstitütü [1]
Yayın Türü [2]
Yayımlanma Yılı [8]
Dil [1]
Kaynak [21]
Veri Tabanları [14]
İndex Türü [6]
Yayıncı [16]
Bölümü [2]
Ulusal/Uluslararası [2]
Konu Başlıkları [35]
Prof. Dr. Fahreddin ABDULLAYEVFen Fakültesi
Erişime Açık

Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space

Meerim İmaş Kızı | Fahreddin ABDULLAYEV

In this paper, we study Bernstein, Markov and Nikol’skii type inequalities for arbitrary algebraic polynomials with respect to a weighted Lebesgue space, where the contour and weight functions have some singularities on a given contour. Keyword: In this paper, we study Bernstein, Markov and Nikol’skii type inequalities for arbitrary algebraic polynomials with respect to a weighted Lebesgue space, where the contour and weight functions have some singularities on a given contour

Makale 2023 Fen Fakültesi Filomat37 ( 17 ) 51 Görüntülenme
Erişime Açık

Fejér-type positive operator based on Takenaka-Malmquist system on unit circle

Fahreddin ABDULLAYEV

Let φ={φk}k=−∞∞ denote the extended Takenaka–Malmquist system on unit circle T and let σn,φ(f), f∈L1(T), be the Fejér-type operator based on φ, introduced by V. N. Rusak. We give the convergence criteria for σn,φ(f) in Banach space C(T). Also we prove the Voronovskaya-type theorem for σn,φ(f) on class of holomorphic functions representable by Cauchy-type integrals with bounded densities. Keywords: Holomorphic functions; Takenaka–Malmquist system; Fejér type operator; Blaschke product; Frostman condition

Makale 2023 Fen Fakültesi Journal of Mathematical Analysis and Applications529 ( 2 ) 48 Görüntülenme
Erişime Açık

Best approximation-preserving operators over Hardy space

Fahreddin ABDULLAYEV

Let Tn be the linear Hadamard convolution operator acting over Hardy space Hq, 1≤q≤∞. We call Tn a best approximation-preserving operator (BAP operator) if Tn(en)=en, where en(z):=zn, and if ∥Tn(f)∥q≤En(f)q for all f∈Hq, where En(f)q is the best approximation by algebraic polynomials of degree a most n−1 in Hq space. We give necessary and sufficient conditions for Tn to be a BAP operator over H∞. We apply this result to establish an exact lower bound for the best approximation of bounded holomorphic functions. In particular, we show that the Landau-type inequality ∣∣fˆn∣∣+c∣∣fˆN∣∣≤En(f)∞, wher ...Daha fazlası

Makale 2023 Fen Fakültesi Analysis and Mathematical Physics13 ( 4 ) 31 Görüntülenme
Erişime Açık

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

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.

Makale 2021 Fen Fakültesi Carpathian Mathematical Publications13 ( 3 ) 144 Görüntülenme
Erişime Açık

Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks

Fahreddin ABDULLAYEV

In this paper, we study Bernstein-Walsh type estimates for the higher-order derivatives of an arbitrary algebraic polynomial on quasidisks.

Makale 2021 Fen Fakültesi Open Mathematics19 ( 1 ) 92 Görüntülenme
Erişime Açık

BERNSTEIN-WALSH TYPE INEQUALITIES FOR DERIVATIVES OF ALGEBRAIC POLYNOMIALS

Fahreddin ABDULLAYEV

In this work, we study Bernstein-Walsh-type estimations for the derivative of an arbitrary algebraic polynomial in regions with piece wise smooth boundary without cusps of the complex plane. Also, estimates are given on the whole complex plane.

Makale 2022 Fen Fakültesi Bulletin of the Korean Mathematical Society (대한수학회보)59 ( 1 ) 21 Görüntülenme
Erişime Açık

On the growth of mth derivatives of algebraic polynomials in the weighted Lebesgue space

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

In this paper, we study the growth of the mth derivative of an arbitrary algebraic polynomial in bounded and unbounded general domains of the complex plane in weighted Lebesgue spaces. Further, we obtain estimates for the derivatives at the closure of this regions. As a result, estimates for derivatives on the entire complex plane were found.

Makale 2022 Fen Fakültesi Applied Mathematics in Science and Engineering30 ( 1 ) 28 Görüntülenme
Erişime Açık

On the Growth of Derivatives of Algebraic Polynomials in a Weighted Lebesgue Space

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

We study the growth rates of the derivatives of an arbitrary algebraic polynomial in bounded and inbounded regions of the complex plane in weighted Lebesgue spaces.

Makale 2022 Fen Fakültesi Ukrainian Mathematical Journal74 ( 5 ) 128 Görüntülenme
Erişime Açık

Bernstein-Walsh-type inequalities for derivatives of algebraic polynomials on the regions of complex plane

Fahreddin ABDULLAYEV

In this paper, we study Bernstein-Walsh-type estimates for the derivatives of an arbitrary algebraic polynomial on some general regions of the complex plane.

Makale 2022 Fen Fakültesi Turkish Journal of Mathematics46 ( 7 ) 74 Görüntülenme
Erişime Açık

Solution of the Rational Difference Equation

Dağıstan ŞİMŞEK | Burak OĞUL | Fahreddin ABDULLAYEV

In this paper, solution of the following difference equation is examined x(n+1) = x(n-13)/1+x(n-1)x(n-3)x(n-5)x(n-7)x(n-9)x(n-11), where the initial conditions are positive real numbers.

Makale 2020 Fen Fakültesi Applied Mathematics and Nonlinear Sciences5 ( 1 ) 131 Görüntülenme
Erişime Açık

Solution of the Maximum of Difference Equation

Dağıstan ŞİMŞEK | Burak OĞUL | Fahreddin ABDULLAYEV

In the recent years, there has been a lot of interest in studying the global behavior of, the socalled, max-type difference equations; see, for example, [1-17]. The study of max type difference equations has also attracted some attention recently. We study the behaviour of the solutions of the following system of difference equation with the max operator:paper deals with the behaviour of the solutions of the max type system of difference equations, x(n+1) = max {A/x(n-1) , y(n)/x(n)}; y(n+1) = max {A/y(n-1) , x(n)/y(n)}, (1) where the parametr A and initial conditions x(-1), x(0), y(-1), y(0 ...Daha fazlası

Makale 2020 Fen Fakültesi Applied Mathematics and Nonlinear Sciences5 ( 1 ) 51 Görüntülenme
Erişime Açık

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.

Konferans Bildirisi 2019 Fen Fakültesi Filomat33 ( 2 ) 105 Görüntülenme
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