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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 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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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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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, Físicas y Naturales. Serie A. Matemáticas, 2018 9
Kim, Taekyun, Kim, Dae San
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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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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
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On ‘maximal’ poles of zeta functions, roots of b‐functions, and monodromy Jordan blocks [PDF]
, 2009 The main objects of this study are the poles of several local zeta functions: the Igusa, topological, and motivic zeta function associated to a polynomial or (germ of) holomorphic function in n variables.
A. Melle-Hernández +2 more
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A Note on Degenerate Bernstein and Degenerate Euler Polynomials
, 2018 In this paper, we investigate the recently introduced degenerate Bernstein polynomials and operators and derive some of their properties. Also, we give some properties of the degenerate Euler numbers and polynomials and their connection with the degenerate Euler polynomials.
Kim, Taekyun, Kim, Dae San
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