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Now showing items 31-40 of 78

#### 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 ...

#### Computation of Nevanlinna characteristic functions derived from generating functions of some special numbers

(SPRINGER INTERNATIONAL PUBLISHING AG, 2018-06)

In the present paper, firstly we find a number of poles of generating functions of Bernoulli numbers and associated Euler numbers, denoted by n(a, B) and n(a, E), respectively. Secondly, we derive the mean value of a ...

#### 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 ...

#### 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 ...

#### 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 ...

#### ON HIGHER ORDER (p, q)-FROBENIUS-EULER POLYNOMIALS

(INST APPLIED MATHEMATICS, 2017)

The main purpose of this paper is to introduce (p, q)-Frobenius-Euler numbers and polynomials, and to investigate their some identities and properties including addition property, difference equation, derivative property, ...

#### 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 ...

#### Certain fractional calculus formulas involving extended generalized Mathieu series

(SPRINGEROPEN, 2018-04-23)

We establish fractional integral and derivative formulas by using fractional calculus operators involving the extended generalized Mathieu series. Next, we develop their composition formulas by applying the integral ...

#### Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus

(ELSEVIER SCIENCE INC, 2014-05-01)

The aim of this paper is to deal with applications of umbral calculus on fermionic p-adic integral on Z(p). From those applications, we derive some new identities on Genocchi numbers and polynomials. Moreover, a systemic ...

#### Applications of fourier series and zeta functions to Genocchi polynomials

(Natural Sciences Publishing, 2018-09-01)

In this paper, we firstly consider the properties of Genocchi polynomials, Fourier series and Zeta functions. In the special cases, we see that the Fourier series yield Zeta functions. From here, we show that zeta functions ...