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[PDF] Top 20 Some Identities of Bernoulli Numbers and Polynomials Associated with Bernstein Polynomials

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Some Identities of Bernoulli Numbers and Polynomials Associated with Bernstein Polynomials

Some Identities of Bernoulli Numbers and Polynomials Associated with Bernstein Polynomials

... The Bernstein polynomials can also be defined in many different ...these polynomials have been looked for by many authors. Some researchers have studied the Bernstein polynomials ... See full document

7

Some new identities on the twisted carlitz's q bernoulli numbers and q bernstein polynomials

Some new identities on the twisted carlitz's q bernoulli numbers and q bernstein polynomials

... q-Bernoulli numbers and polynomials related to q-Bernstein ...derive some new identities for the twisted q-Bernoulli numbers and ...give some relations ... See full document

6

Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials

Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials

... investigated some properties and identities for degenerate Euler poly- nomials in connection with degenerate Bernstein polynomials and operators which were recently introduced as degenerate ... See full document

11

Some Identities on the Generalized  Bernoulli Numbers and Polynomials Associated with  Volkenborn Integrals

Some Identities on the Generalized Bernoulli Numbers and Polynomials Associated with Volkenborn Integrals

... of some families of multiple Carlitz’s type q-Bernoulli numbers and polynomials by using the integral equations of p-adic q-integrals on Z p ...derive some interesting equations of ... See full document

17

Some Identities on the Twisted (ℎ,

Some Identities on the Twisted (ℎ,𝑞) Genocchi Numbers and Polynomials Associated with 𝑞 Bernstein Polynomials

... Kim, “Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on Zp ,” Russian Journal of Mathematical Physics, vol.. Kim, “Sym[r] ... See full document

9

A note on degenerate Bernstein polynomials

A note on degenerate Bernstein polynomials

... investigated some fundamental properties for the degenerate Bernstein poly- ...derived some identities for the degenerate Bernstein polynomials associated with special ... See full document

12

A New Approach to  Bernoulli Numbers and  Bernoulli Polynomials Related to  Bernstein Polynomials

A New Approach to Bernoulli Numbers and Bernoulli Polynomials Related to Bernstein Polynomials

... q-Bernoulli numbers and q-Bernoulli ...these numbers and polynomials related to the second-kind Stirling numbers and q-Bernstein ...q- Bernoulli polynomials ... See full document

9

A Note on Some Identities of Frobenius Euler Numbers and Polynomials

A Note on Some Identities of Frobenius Euler Numbers and Polynomials

... Kim, “A note on Bernstein polynomials associated with q-Euler numbers and polynomials,” International Journal of Mathematics and Analysis, vol... International Journal of Mathematics and[r] ... See full document

10

Identities on the Bernoulli and Genocchi Numbers and Polynomials

Identities on the Bernoulli and Genocchi Numbers and Polynomials

... Ryoo, “On the fermionic p-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials,” Journal of Inequalities and Applications, vol... Operation[r] ... See full document

10

Integral Formulae of Bernoulli and Genocchi Polynomials

Integral Formulae of Bernoulli and Genocchi Polynomials

... Kim, “Identities for the Bernoulli, the Euler and the Genocchi numbers and polynomials,” Advanced Studies in Contemporary Mathematics, vol.. Kim, “Integral formulae of Bernoulli polynomi[r] ... See full document

9

A Study on the  Adic  Integral Representation on  Associated with the Weighted  Bernstein and  Bernoulli Polynomials

A Study on the Adic Integral Representation on Associated with the Weighted Bernstein and Bernoulli Polynomials

... In this paper, we consider the weighted q-Bernstein polynomials to express the bosonic q-integral on p and investigate some properties of the weighted q-Bernstein polynomials associated [r] ... See full document

8

A Study on the  Adic Integral Representation on  Associated with Bernstein and Bernoulli Polynomials

A Study on the Adic Integral Representation on Associated with Bernstein and Bernoulli Polynomials

... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 163217, 6 pages doi 10 1155/2010/163217 Research Article A Study on the p Adic Integral Representation on Zp Ass[.] ... See full document

6

Modified degenerate Carlitz's $q$-bernoulli polynomials and numbers with weight ($\alpha ,\beta $)

Modified degenerate Carlitz's $q$-bernoulli polynomials and numbers with weight ($\alpha ,\beta $)

... q-Bernoulli polynomials and numbers with weight (α, β), and satisfies some identities and properties of ...q-Bernoulli polynomials and numbers with weight (α, β) ... See full document

10

Symmetric identities for Carlitz’s q Bernoulli numbers and polynomials

Symmetric identities for Carlitz’s q Bernoulli numbers and polynomials

... q-Bernoulli numbers and q-Bernoulli ...establish some symmetric identities for these numbers and polynomials, by virtue of which, various known results are derived as ... See full document

10

A note on the (h,q) zeta type function with weight α

A note on the (h,q) zeta type function with weight α

... q-Bernstein polynomials and derived novel proper- ties of q-Bernoulli numbers with weight α by using the symmetric property of weighted q-Bernstein polynomials with the help of ... See full document

6

Modified Degenerate Carlitz’s q-Bernoulli Polynomials and Numbers with Weight (α, β)

Modified Degenerate Carlitz’s q-Bernoulli Polynomials and Numbers with Weight (α, β)

... construct some families of the Carlitz’s q-Bernoulli polyno- mials and ...q-Bernoulli polynomials and numbers with weight (α, β) and investigate their some explicit properties ... See full document

11

Degenerate Changhee Genocchi numbers and polynomials

Degenerate Changhee Genocchi numbers and polynomials

... degenerate numbers and polynomials which are related to Bernoulli and Euler numbers and polynomials (see [, ...degenerate polynomials, many researchers studied the degenerate ... See full document

10

On the Fermionic  adic Integral Representation of Bernstein Polynomials Associated with Euler Numbers and Polynomials

On the Fermionic adic Integral Representation of Bernstein Polynomials Associated with Euler Numbers and Polynomials

... Research Article On the Fermionic p-adic Integral Representation of Bernstein Polynomials Associated with Euler Numbers and Polynomials T.. Division of General Education-Mathematics, Kwa[r] ... See full document

12

Some identities on the twisted q Bernoulli numbers and polynomials with weight α

Some identities on the twisted q Bernoulli numbers and polynomials with weight α

... By using the p-adic q-integral on Zp , we give some identities and relations on the twisted q-Bernoulli numbers and polynomials with weight α.... Jang Journal of Inequalities and Applica[r] ... See full document

8

Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients

Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients

... of numbers or the three kinds of ...Genocchi numbers themselves and Genocchi polynomials ...give some identities only concern Genocchi num- bers and Genocchi ...these identities ... See full document

7

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