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Now showing items 31-40 of 78

#### Extended q-Dedekind-type Daehee-Changhee sums associated with extended q-Euler polynomials

(SPRINGEROPEN, 2015-09-04)

In the present paper, we aim to specify a p-adic continuous function for an odd prime inside a p-adic q-analog of the extended Dedekind-type sums of higher order according to extended q-Euler polynomials (or weighted q-Euler ...

#### Linking of Bernstein-Chlodowsky and Szasz-Appell-Kantorovich type operators

(INT SCIENTIFIC RESEARCH PUBLICATIONS, 2017)

In the present paper, we define a sequence of bivariate operators by linking the Bernstein-Chlodowsky operators and the Szasz-Kantorovich operators based on Appell polynomials. First, we establish the moments of the operators ...

#### Rate of convergence by Kantorovich-Szasz type operators based on Brenke type polynomials

(SPRINGEROPEN, 2017-06-29)

The present paper deals with the approximation properties of the univariate operators which are the generalization of the Kantorovich-Szasz type operators involving Brenke type polynomials. We investigate the order of ...

#### Certain Results for the Twice-Iterated 2D q-Appell Polynomials

(MDPI, 2019-10)

In this paper, the class of the twice-iterated 2D q-Appell polynomials is introduced. The generating function, series definition and some relations including the recurrence relations and partial q-difference equations of ...

#### (ρ,q)-Volkenborn integration

(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017-02)

In the paper, we introduce an analogue of Haar distribution based on (rho, q)-numbers, as follows:
mu(rho,q) (a + p(N)Z(p)) = rho(pN)/[p(N)](rho,q) (q/rho)(a)
By means of this distribution, we derive (rho, q)-analogue ...

#### On Finite Extensions of FC-Groups in the Class of N F-Groups

(WORLD SCIENTIFIC PUBL CO PTE LTD, 2019-03)

Let F, N, A and N-2 denote the properties of being finite, nilpotent, abelian and nilpotent of classes at most 2, respectively. Firstly we consider the class of finitely generated FN-groups. We show that the property FC ...

#### lambda-STATISTICAL CONVERGENCE OF BERNSTEIN POLYNOMIAL SEQUENCES

(MILI PUBL, 2017-01)

The Bernstein operator is one of the important topics of approximation theory in which it has been studied in great details for a long time. The aim of this paper is to study the lambda-statistical convergence of sequence ...

#### Laguerre-based Hermite-Bernoulli polynomials associated with bilateral series

(TBILISI CENTRE MATH SCI, 2018-06)

In the paper, we define Laguerre-based Hermite-Bernoulli polynomial with its generating function, and investigate certain properties. From this generating function, we derive summation formulas and related bilateral series ...

#### Hermite based poly-bernoulli polynomials with a g-parameter

(Jangjeon Mathematical Society, 2018)

We introduce the Hermite based poly-Bernoulli polynomials with a q parameter and give some of their basic properties including not only addition property, but also derivative properties and integral representations. We ...

#### On applications of blending generating functions of q-Apostol-type polynomials

(BULGARIAN ACAD SCIENCE, 2019)

Motivated by Kurt's blending generating functions of q-Apostol polynomials [16], we investigate some new identities and relations. We also aim to derive several new connections between these polynomials and generalized ...