## Search

Now showing items 71-78 of 78

#### Some new formulas for the products of the Apostol type polynomials

(SPRINGEROPEN, 2016-11-10)

In the year 2014, Kim et al. computed a kind of new sums of the products of an arbitrary number of the classical Bernoulli and Euler polynomials by using the Euler basis for the vector space of polynomials of bounded degree. ...

#### A certain (p, q)-derivative operator and associated divided differences

(SPRINGEROPEN, 2016)

Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D-q and divided difference. As applications of the post-quantum calculus ...

#### A new approach to Legendre-truncated-exponential-based Sheffer sequences via Riordan arrays

(Elsevier Inc., 2020-03-15)

The significance of multi-variable special polynomials has been identified both in mathematical and applied frameworks. The article aims to focus on a new class of 3-variable Legendre-truncated-exponential-based Sheffer ...

#### Blending type approximation by Stancu-Kantorovich operators based on Polya-Eggenberger distribution

(DE GRUYTER OPEN LTD, 2017)

In the paper the authors introduce the Kantorovich variant of Stancu operators based on Polya-Eggenberger distribution. By making use of this new operator, we obtain some indispensable auxiliary results. We also deal with ...

#### Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p-Laplacian operator

(SPRINGER INTERNATIONAL PUBLISHING AG, 2015-02-11)

In this article, we investigate the existence of a solution arising from the following fractional q-difference boundary value problem by using the p-Laplacian operator: D-q(gamma)(phi(p)(D(q)(delta)y(t))) + f(t,y(t)) = 0 ...

#### On weighted q-Daehee polynomials with their applications

(Elsevier B.V., 2019-03)

In this paper, we first consider a generalization of Kim's p-adic q-integral on Z p including parameters α and β. By using this integral, we introduce the q-Daehee polynomials and numbers with weight α,β. Then, we obtain ...

#### Weakly Compatible Maps in Complex Valued Metric Spaces and an Application to Solve Urysohn Integral Equation

(UNIV NIS, 2016)

In this paper, we prove common fixed point theorems for a pair of mappings satisfying rational inequality. Also, we prove common fixed point theorems for weakly compatible maps, weakly compatible along with (CLR) and E.A. ...

#### A novel approach for obtaining new identities for the lambda extension of q- Euler polynomials arising from the q-umbral calculus

(INT SCIENTIFIC RESEARCH PUBLICATIONS, 2017)

In this article, a new q-generalization of the Apostol-Euler polynomials is introduced using the usual q-exponential function. We make use of such a generalization to derive several properties arising from the q-umbral ...