Browsing by Author "Aracı, Serkan"
Now showing items 1-13 of 13
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Approximation by Bivariate Bernstein-Durrmeyer Operators on a Triangle
Aracı, Serkan; Goyal, Meenu; Kajla, Arun (2017-04)In the present paper, we obtain some approximation properties for the bivariate Bernstein-Durrmeyer operators on a triangle. We characterize the rate of convergence in terms of K-functional and the usual and second order ... -
Approximation of durrmeyer type operators depending on certain parameters
Aracı, Serkan; Malik, Neha; Beniwal, ManSingh (2017-05)Motivated by a number of recent investigations, we consider a new analogue of Bernstein-Durrmeyer operators based on certain variants. We derive some approximation properties of these operators. We also compute local ... -
The causality relationship between trade and environment in G7 countries: Evidence from dynamic symmetric and asymmetric bootstrap panel causality tests
Yılancı, Veli; Çütcü, İbrahim; Araci, Serkan (MDPI, 2022)In this paper, we test the dynamic symmetric and asymmetric causality relationship between the ecological footprint and trade openness in G7 countries by suggesting a new bootstrap panel causality test based on seemingly ... -
Construction of Degenerate q-Daehee Polynomials with Weight α and its Applications
Aracı, Serkan (Fuat USTA, 2021)The fundamental aim of the present paper is to deal with introducing a new family of Daeheepolynomials which is called degenerate q-Daehee polynomials with weight α by usingp-adic q-integral on Zp. From this definition, ... -
Differential and Integral Equations for the 3-Variable Hermite-Frobenius-Euler and Frobenius-Genocchi Polynomials
The main goal of the present article is to derive some new classes of differential equations including partial and integrodifferential equations for the 3-variable Hermite-Frobenius-Euler and Frobenius-Genocchi polynomials ... -
Generating functions involving the incomplete H-functions
Jangid, Kamlesh; Purohit, Sunil Dutt; Nisar, Kottakkaran Sooppy; Aracı, Serkan (De Gruyter Open Ltd, 2021)In this article, for the incomplete H-functions, we obtain a set of new generating functions. The bilateral along with linear generating relations are derived for the incomplete H-functions. Many of the generating functions ... -
Identities Involving Some New Special Polynomials Arising from the Applications of Fractional Calculus
Inspired by a number of recent investigations, we introduce the new analogues of the Apostol-Bernoulli polynomials and the Apostol-Euler polynomials, the Apostol-Genocchi polynomials based on Mittag-Leffler function. ... -
A new class of partially degenerate Hermite-Genocchi polynomials
In this paper, firstly we introduce not only partially degenerate Hermite-Genocchi polynomials, but also a new generalization of degenerate Hermite-Genocchi polynomials. Secondly, we investigate some behaviors of these ... -
On some polynomials derived from (p,q)-calculus
Aracı, Serkan; Duran, Uğur; Açıkgöz, Mehmet (2016)We consider the new generating functions of the Bernoulli, the Euler and the Genocchi polynomials under post quantum calculus. From those generating functions, we analyse the behaviours of the polynomials mentioned in the ... -
A pseudo-spectral method based on reproducing kernel for solving the time-fractional diffusion-wave equation
Fardi, Mojtaba; Al-Omari, Shrideh K. Qasem; Aracı, Serkan (Springer Nature, 2022)In this paper, we focus on the development and study of the finite difference/pseudo-spectral method to obtain an approximate solution for the time-fractional diffusion-wave equation in a reproducing kernel Hilbert space. ... -
Spectral Problem for the Sturm-Liouville Operator with Retarded Argument Containing a Spectral Parameter in the Boundary Condition
Aracı, Serkan; Şen, Erdoğan; Açıkgöz, Mehmet (2016)In this paper, by modifying some techniques of [S.B. Norkin, Differential equations of the second order with retarded argument, Translations of Mathematical Monographs, Vol. 31, AMS, Providence, RI, 1972] and suggesting ... -
Statistical convergence of Bernstein operators
Aracı, Serkan; Esi, Ayhan; Açıkgöz, Mehmet (2016-11)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. The aim of this paper is to study the statistical convergence of sequence of ... -
A subclass of meromorphic Janowski-type multivalent q-starlike functions involving a q-differential operator
Ahmad, Bakhtiar; Mashwani, Wali Khan; Aracı, Serkan; Mustafa, Saima; Khan, Muhammad Ghaffar; Khan, Bilal (Springer Nature, 2022)Keeping in view the latest trends toward quantum calculus, due to its various applications in physics and applied mathematics, we introduce a new subclass of meromorphic multivalent functions in Janowski domain with the ...