[PDF] Top 20 A note on \((p,q)\) Bernstein polynomials and their applications based on \((p,q)\) calculus
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A note on \((p,q)\) Bernstein polynomials and their applications based on \((p,q)\) calculus
... The generating functions are the key tool in analytic number theory for defining and ob- taining properties to special polynomials such as Bernoulli, Euler, Hermite, and Genocchi polynomials. The idea behind ... See full document
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A note on the values of weighted q Bernstein polynomials and weighted q Genocchi numbers
... The q-calculus theory is a novel theory that is based on finite difference ...in q-calculus belong to Euler, who discovered Euler’s identities for q-exponential functions, and ... See full document
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A Note on the (p, q)-Hermite Polynomials
... decades, applications of quantum calculus based on q-numbers have been studied and investigated succesfully, densely and considerably (see [7; ...these applications and introduction of ... See full document
8
Integral representations of several (p,q)-Bernstein polynomials and their applications
... of Bernstein polynomials in (p, q)-calculus, a definition of (p, q)- Bernstein polynomials introduced by Mursaleen et ...from Bernstein ... See full document
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On the approximation by Chlodowsky type generalization of (p,q)-Bernstein operators
... the applications of q-calculus emerged as a new area in the field of approximation ...of q-calculus has led to the discovery of various generalizations of Bernstein ... See full document
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A basic problem of \((p,q)\) Bernstein type operators
... the applications of q-calculus emerged as a new area in the field of approximation ...of q-calculus has led to the discovery of various generalizations of Bernstein ... See full document
7
A Study on Some New Results Arising from p; q -Calculus
... (p; q)-number to inves- tigate Fibonacci ...(p; q)-calculus. Based on the aforementioned papers, many mathematicians and physicists have developed the (p; ... See full document
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Unified (p, q) -analog of Apostol type polynomials of order a
... decades, applications of quantum calculus based on q-numbers have been studied and investigated succesfully, densely and considerably (see [4; 8; 10; 15; 16; 19-21; 27; 30; ...these ... See full document
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Approximation by quaternion \((p,q)\) Bernstein polynomials and Voronovskaja type result on compact disk
... on q-analogue of different operators, for instance, in [9, 23, 25, ...(p, q)-calculus has many interesting applications (see [5, 12, ...For p = 1, the notion of (p, ... See full document
15
Representation of \((p,q)\) Bernstein polynomials in terms of \((p,q)\) Jacobi polynomials
... (p, q)-calculus in approx- imation theory and studied the (p, q)-analog of Bernstein ...operators based on Korovkin’s theorem and some direct theorems were considered ... See full document
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THE ALEXANDER POLYNOMIAL OF A TORUS KNOT WITH TWISTS
... an application we give conditions on (p, q) which ensure that all the polyno- mials ∆(p, q, 2m) with |m| ≥ 2 have at least one coefficient a with |a| > 1. A theorem of Ozsvath and Szabo ... See full document
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Some identities on the weighted q Euler numbers and q Bernstein polynomials
... weighted q -Euler numbers and polynomials which are a slightly different Kim’s weighted q -Euler numbers and polynomials(see ...A note on the weighted q-Euler numbers and ... See full document
7
On the approximation of analytic functions by the $q$-Bernstein polynomials in the case $q>1$
... investigation of their convergence properties turns out to be much more difficult than that in the case 0 < q < 1. In this paper, new results on the approximation of continuous functions by the ... See full document
8
A note on \((h,q)\) Boole polynomials
... the q-extensions of Boole ...the q-Boole polynomials with weights and derive some new interesting identities and properties of those polynomials and numbers from the Witt-type formula which ... See full document
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On \((p,q)\) classical orthogonal polynomials and their characterization theorems
... (p, q)-structure relation are also ...(p, q)- analogues of shifted Jacobi, Laguerre, and Hermite ...(p, q)-difference equation of hypergeometric type, the coefficients of the ... See full document
17
Some identities of q Euler polynomials arising from q umbral calculus
... from P ∗ onto ...on P , and so an element f (t) of F will be thought of as a formal power series and a linear ...the q-umbral algebra. The q-umbral calculus is the study of ... See full document
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A note on the (h,q) zeta type function with weight α
... (h, q)-Genocchi polynomials and a weighted (h, q)-zeta-type ...our applications seem to be interesting and worthwhile for further works of many mathemati- cians in analytic numbers ... See full document
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On the Distribution of the Euler Polynomials and the Genocchi Polynomials of Higher Order
... the q-extension of Euler and Genocchi polynomials of higher order and Choi-Anderson-Srivastava have studied the q-extension of Euler and Genocchi numbers of higher order, which is defined by ... See full document
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Applications of q-Umbral Calculus to Modi ed Apostol Type q-Bernoulli Polynomials
... studied q-Bernoulli polynomials, q-Euler polynomials and various general- izations of these polynomials ...type q-Bernoulli numbers and polynomials, and we apply these ... See full document
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The twisted (h, q) Genocchi numbers and polynomials with weight α and q bernstein polynomials with weight α
... h, q )-Genocchi num- bers and polynomials with weight a ...h, q )-Genocchi polynomials with weight a and q - Bernstein polynomials with weight a ... See full document
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