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Now showing items 1-10 of 12

#### Lacunary statistical convergence of Bernstein operator sequences

(INST ADVANCED SCIENCE EXTENSION, 2017-11)

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. Recently the statistical convergence of Bernstein operators was studied. In this ...

#### Summation formulas for the products of the Frobenius-Euler polynomials

(SPRINGER, 2017-10)

We present here a further investigation for the classical Frobenius-Euler polynomials. By making use of the generating function methods and summation transform techniques, we establish some summation formulas for the ...

#### 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 ...

#### Szasz-Durrmeyer operators involving Boas-Buck polynomials of blending type

(SPRINGER INTERNATIONAL PUBLISHING A, 2017-05-23)

The present paper introduces the Szasz-Durrmeyer type operators based on Boas-Buck type polynomials which include Brenke type polynomials, Sheffer polynomials and Appell polynomials considered by Sucu et al. (Abstr. Appl. ...

#### On an Analogue of Euler Polynomials and Related to Extended Fermionic p-Adic Integrals on Z(p)

(SPRINGER INTERNATIONAL PUBLISHING AG, 2017-09)

In the paper, using the extended fermionic p-adic integral on Z(p), the authors find some applications of the umbral calculus. From these applications, the authors derive some identities on the weighted Euler numbers and ...

#### 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 ...

#### 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 ...

#### 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 ...

#### (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 ...

#### 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 ...