On \(p\)-adic analogue of \(q\)-Bernstein polynomials and related integrals

DOI10.1155/2010/179430zbMath1209.33016arXiv1009.3436OpenAlexW2005448566WikidataQ58650745 ScholiaQ58650745MaRDI QIDQ624429

Juan-Miguel Gracia

Publication date: 9 February 2011

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3436

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (5)

A note on the values of weighted \(q\)-Bernstein polynomials and weighted \(q\)-Genocchi numbers ⋮ A study on the fermionic \(p\)-adic \(q\)-integral representation on \(\mathbb Z_p\) associated with weighted \(q\)-Bernstein and \(q\)-Genocchi polynomials ⋮ New construction of weighted \((h, q)\)-Genocchi numbers and polynomials related to zeta type functions ⋮ Some identities on Bernstein polynomials associated with \(q\)-Euler polynomials ⋮ A new approach to \(q\)-Bernoulli numbers and \(q\)-Bernoulli polynomials related to \(q\)-Bernstein polynomials

Cites Work

• A new generating function of (\(q\)-) Bernstein-type polynomials and their interpolation function
• On \((i,q)\) Bernoulli and Euler numbers
• On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
• A note on the modified \(q\)-Bernstein polynomials
• \(q\)-Bernoulli numbers and polynomials
• Barnes-type multipleq-zeta functions andq-Euler polynomials
• Reflection Symmetries of q-Bernoulli Polynomials

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