SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD

TAŞ, EMRE

SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD

EMRE TAŞ (Ahi Evran Üniversitesi, Matematik Bölümü, Kırşehir, Türkiye)

Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics

2 0

Yıl: 2016 Cilt: 65 Sayı: 1 Sayfa Aralığı: 187 - 195 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD

Öz:

In this paper, we consider power series method which is also member of the class of all continuous summability methods. We study a Korovkintype approximation theorem for the Mastroianni operators with the use ofpower series method which includes Abel and Borel methods. We also givesome estimates in terms of the modulus of continuity and the second modulusof smoothness.

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

O. Agratini and B. Della Vecchia, Mastroianni operators revisited, Facta Univ. Ser. Math. Inform 19 (2004), 53-63.
F. Altomare and M. Campiti, Korovkin-type approximation theory and its applications, De Gruyter Studies in Mathematics, 17, Walter de Gruyter Co., Berlin (1994).
F. Altomare, Korovkin-type theorems and approximation by positive linear operators, Surv. Approx. Theory, 5 (2010), 92-164.
O. G. Atlihan and C. Orhan, Matrix summability and positive linear operators, Positivity 11 (2007), 387-398.
J. Boos, Classical and Modern Methods in Summability, Oxford University Press (2000).
P. L. Butzer and H. Berens, Semi-groups of operators and approximation, Die Grundlehren der Mathematischen Wissenschaften, 145, Springer, New York, (1967).
O. Duman, M. K. Khan and C. Orhan, A statistical convergence of approximating operators, Math. Inequal. Appl. 6 (2003), 689-699.
O. Duman, Summability process by Mastroianni operators and their generalizations, Mediterr. J. Math. 12 (2015), 21-35.
A. Holhos, Uniform approximation of functions by Bernstein-Stancu operators, Carpathian J. Math. 31 (2015), 205-212.
A. D. Gadjiev and C. Orhan, Some approximation theorems via statistical convergence, Rocky Mountain J. Math. 32 (2002), 129-138.
P. P. Korovkin, Linear Operators and Approximation Theory, Hindustan Publ. Co., Delhi, (1960).
W. Kratz and U. Stadtmüller, Tauberian theorems for Jp-summability, J. Math. Anal. Appl. (1989), 362-371.
G. Mastroianni, On a linear positive operator, Rend. Acad. Sci. Fis. Mat. Napoli 46 (1979), 176.
A. J. López-Moreno and J. M. Latorre-Palacios, Localization results for generalized Baskakov/Mastroianni and composite operators, J. Math. Anal. Appl. 380 (2011), 425-439.
A. J. López-Moreno, J. Martínez-Moreno and F. Muñ oz-Delgado and J. M. Quesada, Some properties of linear positive operators de...ned in terms of ...nite diğerences. Multivariate approximation and interpolation with applications (Almuñécar, 2001) 87-96, Monogr. Real
Acad. Ci. Exact. Fís.-Quím. Nat. Zaragoza, 20, Acad. Cienc. Exact. Fís. Quím. Nat. Zaragoza, Zaragoza (2002).
U. Stadtmüller and A. Tali, On certain families of generalized Nörlund methods and power series methods, J. Math. Anal. Appl. 238 (1999), 44-66.

APA	TAŞ E (2016). SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD. , 187 - 195.
Chicago	TAŞ EMRE SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD. (2016): 187 - 195.
MLA	TAŞ EMRE SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD. , 2016, ss.187 - 195.
AMA	TAŞ E SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD. . 2016; 187 - 195.
Vancouver	TAŞ E SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD. . 2016; 187 - 195.
IEEE	TAŞ E "SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD." , ss.187 - 195, 2016.
ISNAD	TAŞ, EMRE. "SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD". (2016), 187-195.

APA	TAŞ E (2016). SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 65(1), 187 - 195.
Chicago	TAŞ EMRE SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 65, no.1 (2016): 187 - 195.
MLA	TAŞ EMRE SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.65, no.1, 2016, ss.187 - 195.
AMA	TAŞ E SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2016; 65(1): 187 - 195.
Vancouver	TAŞ E SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2016; 65(1): 187 - 195.
IEEE	TAŞ E "SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 65, ss.187 - 195, 2016.
ISNAD	TAŞ, EMRE. "SOME RESULTS CONCERNING MASTROIANNI OPERATORS BY POWER SERIES METHOD". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 65/1 (2016), 187-195.