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Now showing items 1-10 of 95

#### ON (q, r, w)-STIRLING NUMBERS OF THE SECOND KIND

(UNIV PRISHTINES, 2018)

In this paper, we introduce a new generalization of the r-Stirling numbers of the second kind based on the q-numbers via an exponential generating function. We investigate their some properties and derive several relations ...

#### 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 ...

#### A Kantorovich variant of a generalized Bernstein operators

(JOURNAL MATHEMATICS & COMPUTER SCIENCE-JMCS, 2019)

In this note we present a Kantorovich variant of the operators proposed by [X. Y. Chen, J. Q. Tan, Z. Liu, J. Xie, J. Math. Anal. Appl., 450 (2017), 244-261] based on non-negative parameters. Here, we prove an approximation ...

#### 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 ...

#### Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis

(INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016)

In the present paper, we introduce a method in order to obtain some new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived from Bernoulli polynomial basis. Finally, ...

#### 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 ...

#### An analogue of Eulerian polynomials related to L-type function

(MAEJO UNIV, 2015-05)

We introduce Dirichlet's type of twisted Eulerian polynomials by using p-adic fermionic q-invairant integral in the p-adic integer ring and obtain some new interesting identities. Using a complex contour integral representation ...

#### 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 ...

#### Fixed Point Theorems for Generalized (alpha, psi)-Expansive Mappings in Generalized Metric Spaces

(RGN PUBL, 2016)

The aim of this paper is to introduce new notion of generalized (alpha, psi)-expansive mappings in generalized metric spaces and to study the existence of a fixed point for the mappings in this space. Our new notion ...