Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$

Tuncer Acar; Ali Aral; Ioan Raşa

doi:10.33205/cma.547221

Araştırma Makalesi

Yıl 2019, Cilt: 2 Sayı: 3, 98 - 102, 01.09.2019

Tuncer Acar Ali Aral Ioan Raşa

https://doi.org/10.33205/cma.547221

Cited By: 9

Öz

Kaynakça

[1] T. Acar, A. Aral, I. Raşa, Modified Bernstein-Durrmeyer operators, General Mathematics, 22 (1), 2014, 27-41.
[2] A. Aral, D. Inoan, I. Raşa, On the generalized Szasz-Mirakyan Operators, Results in Mathematics, 65(3-4), 2014, 441–452.
[3] D. Cárdenas-Morales, P. Garrancho, F. J. Munoz-Delgado, Shape preserving approximation by Bernstein-Type op- erators which fix polynomials, Appl. Math. Comp. 182, 2006, 1615-1622.
[4] D. Cárdenas-Morales, P. Garrancho, I. Raşa, Asymptotic formulae via Korovkin-type result, Abstract and Applied Analysis, vol. 2012, Article ID 217464, 12 pages, 2012. https://doi.org/10.1155/2012/217464.
[5] D. Cárdenas-Morales, P. Garrancho ,I. Raşa, Bernstein-type operators which preserve polynomials, Computers and Mathematics with Applications 62, 2011, 158–163.
[6] J. P. King, Positive linear operators which preserve x2, Acta. Math. Hungar., 99, 2003, 203–208

Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$

Yıl 2019, Cilt: 2 Sayı: 3, 98 - 102, 01.09.2019

Tuncer Acar Ali Aral Ioan Raşa

https://doi.org/10.33205/cma.547221

Cited By: 9

Öz

In the paper we introduce a general class of linear positive approximation processes defined on bounded and unbounded intervals designed using an appropriate function. Voronovskaya type theorems are given for these new constructions. Some examples including well known operators are presented.

Anahtar Kelimeler

Generalized operators, Voronovskaya theorem

Kaynakça

[1] T. Acar, A. Aral, I. Raşa, Modified Bernstein-Durrmeyer operators, General Mathematics, 22 (1), 2014, 27-41.
[2] A. Aral, D. Inoan, I. Raşa, On the generalized Szasz-Mirakyan Operators, Results in Mathematics, 65(3-4), 2014, 441–452.
[3] D. Cárdenas-Morales, P. Garrancho, F. J. Munoz-Delgado, Shape preserving approximation by Bernstein-Type op- erators which fix polynomials, Appl. Math. Comp. 182, 2006, 1615-1622.
[4] D. Cárdenas-Morales, P. Garrancho, I. Raşa, Asymptotic formulae via Korovkin-type result, Abstract and Applied Analysis, vol. 2012, Article ID 217464, 12 pages, 2012. https://doi.org/10.1155/2012/217464.
[5] D. Cárdenas-Morales, P. Garrancho ,I. Raşa, Bernstein-type operators which preserve polynomials, Computers and Mathematics with Applications 62, 2011, 158–163.
[6] J. P. King, Positive linear operators which preserve x2, Acta. Math. Hungar., 99, 2003, 203–208

Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	Matematik
Bölüm	Makaleler
Yazarlar	Tuncer Acar Ali Aral 0000-0002-2024-8607 Ioan Raşa Bu kişi benim
Yayımlanma Tarihi	1 Eylül 2019
Yayımlandığı Sayı	Yıl 2019 Cilt: 2 Sayı: 3

Kaynak Göster

APA	Acar, T., Aral, A., & Raşa, I. (2019). Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$. Constructive Mathematical Analysis, 2(3), 98-102. https://doi.org/10.33205/cma.547221
AMA	Acar T, Aral A, Raşa I. Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$. CMA. Eylül 2019;2(3):98-102. doi:10.33205/cma.547221
Chicago	Acar, Tuncer, Ali Aral, ve Ioan Raşa. “Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$”. Constructive Mathematical Analysis 2, sy. 3 (Eylül 2019): 98-102. https://doi.org/10.33205/cma.547221.
EndNote	Acar T, Aral A, Raşa I (01 Eylül 2019) Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$. Constructive Mathematical Analysis 2 3 98–102.
IEEE	T. Acar, A. Aral, ve I. Raşa, “Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$”, CMA, c. 2, sy. 3, ss. 98–102, 2019, doi: 10.33205/cma.547221.
ISNAD	Acar, Tuncer vd. “Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$”. Constructive Mathematical Analysis 2/3 (Eylül 2019), 98-102. https://doi.org/10.33205/cma.547221.
JAMA	Acar T, Aral A, Raşa I. Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$. CMA. 2019;2:98–102.
MLA	Acar, Tuncer vd. “Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$”. Constructive Mathematical Analysis, c. 2, sy. 3, 2019, ss. 98-102, doi:10.33205/cma.547221.
Vancouver	Acar T, Aral A, Raşa I. Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$. CMA. 2019;2(3):98-102.