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A note on degenerate Bernstein polynomials [PDF]
Journal of Inequalities and Applications, 2019 Recently, degenerate Bernstein polynomials have been introduced by Kim and Kim. In this paper, we investigate some properties and identities for the degenerate Bernstein polynomials associated with special numbers and polynomials including degenerate ...
Taekyun Kim +3 more
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Some Identities on Degenerate Bernstein and Degenerate Euler Polynomials [PDF]
Mathematics, 2019 In recent years, intensive studies on degenerate versions of various special numbers and polynomials have been done by means of generating functions, combinatorial methods, umbral calculus, p-adic analysis and differential equations.
Taekyun Kim, Dae San Kim
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Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials [PDF]
Journal of Inequalities and Applications, 2019 In this paper, we investigate some properties and identities for degenerate Euler polynomials in connection with degenerate Bernstein polynomials by means of fermionic p-adic integrals on Zp $\mathbb{Z}_{p}$ and generating functions.
Won Joo Kim +3 more
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Probabilistic degenerate Bernstein polynomials
Applied Mathematics in Science and EngineeringIn recent years, both degenerate versions and probabilistic extensions of many special numbers and polynomials have been explored. For instance, degenerate Bernstein polynomials and probabilistic Bernstein polynomials were investigated earlier.
Jinyu Wang +3 more
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Degenerate Bernstein polynomials [PDF]
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2018 9
D S Kim, Taekyun Kim
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Some Identities of Fully Degenerate Bernoulli Polynomials Associated with Degenerate Bernstein Polynomials [PDF]
Symmetry, 2019 In this paper, we investigate some properties and identities for fully degenerate Bernoulli polynomials in connection with degenerate Bernstein polynomials by means of bosonic p-adic integrals on Z p and generating functions. Furthermore, we study two variable degenerate Bernstein polynomials and the degenerate Bernstein operators.
Lee, Jeong Gon +2 more
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Degenerate Bernstein polynomials
Journal of Approximation Theory, 1983 For \(f\epsilon\) C[0,1], the n-th Bernstein polynomial \(B_ n(f;x)\) is a polynomial of exact degree n, although degeneracies can occur in some cases. For example, if f itself is a polynomial of degree m, then \(B_ n(f;x)\) is also of degree m for \(n\geq m\) (although not equal to f(x) except in the case \(m=1)\).
Freedman, David, Passow, Eli
exaly +3 more sources
Asymptotic Frame Fields of Rational Bézier Curves
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2021 Bézier curves are a type of curves used in computer aided design and related fields. The curves can be defined with the help of De Casteljau algorithm, which is one of the most basic elements of curve and surface design, and Bernstein polynomials, which ...
Tunahan Turhan +2 more
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Correction to: Degenerate Bernstein polynomials [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019 Unfortunately, erratua appear in the statement corresponding Theorems 2.6 and 2.10 in the original paper .
Taekyun Kim, Dae San Kim
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On Degenerate Truncated Special Polynomials
Mathematics, 2020 The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
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