Results 11 to 20 of about 225 (100)

A Note on Hölder Type Inequality for the Fermionic p-Adic Invariant q-Integral

Journal of Inequalities and Applications, 2009
The purpose of this paper is to find Hölder type inequality for the fermionic p-adic invariant q-integral which was defined by Kim (2008).
Lee-Chae Jang
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q-Genocchi Numbers and Polynomials Associated with Fermionic p-Adic Invariant Integrals on ℤp [PDF]

Abstract and Applied Analysis, 2008
The main purpose of this paper is to present a systemic study of some families of multiple Genocchi numbers and polynomials. In particular, by using the fermionic p-adic invariant integral on ℤp, we construct p-adic Genocchi numbers and polynomials of ...
Leechae Jang, Taekyun Kim
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Symmetric Identities Involving the Extended Degenerate Central Fubini Polynomials Arising from the Fermionic p-Adic Integral on ℤ_p

Axioms
Since the constructions of p-adic q-integrals, these integrals as well as particular cases have been used not only as integral representations of many special functions, polynomials, and numbers, but they also allow for deep examinations of many families
Maryam Salem Alatawi, Waseem Ahmad Khan, Ugur Duran   +2 more
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Some Identities of the Frobenius-Euler Polynomials [PDF]

Abstract and Applied Analysis, 2009
By using the ordinary fermionic p-adic invariant integral on ℤp, we derive some interesting identities related to the Frobenius-Euler polynomials.
Taekyun Kim, Byungje Lee
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A Note on Some Identities of Frobenius-Euler Numbers and Polynomials

International Journal of Mathematics and Mathematical Sciences, 2012
The purpose of this paper is to give some identities on the Frobenius-Euler numbers and polynomials by using the fermionic p-adic q-integral equation on ℤp.
J. Choi, D. S. Kim, T. Kim, Y. H. Kim
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Some Relations between Twisted (h,q)-Euler Numbers with Weight α and q-Bernstein Polynomials with Weight α [PDF]

Discrete Dynamics in Nature and Society, 2011
By using fermionic p-adic q-integral on ℤp, we give some interesting relationship between the twisted (h, q)-Euler numbers with weight α and the q-Bernstein polynomials.
N. S. Jung, H. Y. Lee, C. S. Ryoo
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A Note on Hölder Type Inequality for the Fermionic -Adic Invariant -Integral

Journal of Inequalities and Applications, 2009
The purpose of this paper is to find Hölder type inequality for the fermionic -adic invariant -integral which was defined by Kim (2008).
Jang Lee-Chae
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On the Fermionic -adic Integral Representation of Bernstein Polynomials Associated with Euler Numbers and Polynomials

Journal of Inequalities and Applications, 2010
The purpose of this paper is to give some properties of several Bernstein type polynomials to represent the fermionic -adic integral on . From these properties, we derive some interesting identities on the Euler numbers and polynomials.
Ryoo CS, Kim T, Choi J, Kim YH
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Sums of Products of -Euler Polynomials and Numbers

Journal of Inequalities and Applications, 2009
We derive formulae for the sums of products of the -Euler polynomials and numbers using the multivariate fermionic -adic -Volkenborn integral on .
Hwang Kyung-Won, Kim Young-Hee, Kim Taekyun   +2 more
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Interpolation Functions of -Extensions of Apostol's Type Euler Polynomials

Journal of Inequalities and Applications, 2009
The main purpose of this paper is to present new -extensions of Apostol's type Euler polynomials using the fermionic -adic integral on . We define the - -Euler polynomials and obtain the interpolation functions and the Hurwitz type zeta functions of
Kim Young-Hee, Kim Taekyun, Hwang Kyung-Won   +2 more
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