Duman, Oktay Max-product Shepard operators based on multivariable Taylor polynomials. (English) Zbl 07750627 J. Comput. Appl. Math. 437, Article ID 115456, 15 p. (2024). Reviewer: Anjali (Delhi) MSC: 41A25 41A36 41A05 65D05 41A35 PDFBibTeX XMLCite \textit{O. Duman}, J. Comput. Appl. Math. 437, Article ID 115456, 15 p. (2024; Zbl 07750627) Full Text: DOI
Atlihan, Ö. G.; Yurdakadim, T.; Taş, E. A new approach to the approximation by positive linear operators in weighted spaces. (English) Zbl 1528.41060 Ukr. Math. J. 74, No. 11, 1649-1657 (2023) and Ukr. Mat. Zh. 74, No. 11, 1447-1453 (2022). MSC: 41A36 41A81 PDFBibTeX XMLCite \textit{Ö. G. Atlihan} et al., Ukr. Math. J. 74, No. 11, 1649--1657 (2023; Zbl 1528.41060) Full Text: DOI
Gökçer, Türkan Yeliz; Duman, Oktay Regular summability methods in the approximation by max-min operators. (English) Zbl 1522.41009 Fuzzy Sets Syst. 426, 106-120 (2022). MSC: 41A35 PDFBibTeX XMLCite \textit{T. Y. Gökçer} and \textit{O. Duman}, Fuzzy Sets Syst. 426, 106--120 (2022; Zbl 1522.41009) Full Text: DOI
Çınar, Selin; Yıldız, Sevda \(P\)-statistical summation process of sequences of convolution operators. (English) Zbl 1505.40010 Indian J. Pure Appl. Math. 53, No. 3, 648-659 (2022). Reviewer: Emre Taş (Kırşehir) MSC: 40A35 41A25 41A36 PDFBibTeX XMLCite \textit{S. Çınar} and \textit{S. Yıldız}, Indian J. Pure Appl. Math. 53, No. 3, 648--659 (2022; Zbl 1505.40010) Full Text: DOI
Yıldız, Sevda Approximation via statistical \(K_a^2\)-convergence on two-dimensional weighted spaces. (English) Zbl 1504.40011 Rev. Unión Mat. Argent. 63, No. 1, 21-39 (2022). MSC: 40A35 40B05 41A25 41A36 PDFBibTeX XMLCite \textit{S. Yıldız}, Rev. Unión Mat. Argent. 63, No. 1, 21--39 (2022; Zbl 1504.40011) Full Text: DOI
Duman, Oktay; Della Vecchia, Biancamaria Approximation to integrable functions by modified complex Shepard operators. (English) Zbl 1492.30083 J. Math. Anal. Appl. 512, No. 2, Article ID 126161, 13 p. (2022). MSC: 30E10 PDFBibTeX XMLCite \textit{O. Duman} and \textit{B. Della Vecchia}, J. Math. Anal. Appl. 512, No. 2, Article ID 126161, 13 p. (2022; Zbl 1492.30083) Full Text: DOI
Çinar, Selin; Yildiz, Sevda; Demirci, Kamil Korovkin type approximation via triangular \(A\)-statistical convergence on an infinite interval. (English) Zbl 1504.40015 Turk. J. Math. 45, No. 2, 929-942 (2021). MSC: 40G15 41A36 PDFBibTeX XMLCite \textit{S. Çinar} et al., Turk. J. Math. 45, No. 2, 929--942 (2021; Zbl 1504.40015) Full Text: DOI
Yildiz, Sevda Korovkin type approximation via statistical \(e\)-convergence on two dimensional weighted spaces. (English) Zbl 1489.40012 Math. Slovaca 71, No. 5, 1167-1178 (2021). MSC: 40A35 40B05 41A25 41A36 PDFBibTeX XMLCite \textit{S. Yildiz}, Math. Slovaca 71, No. 5, 1167--1178 (2021; Zbl 1489.40012) Full Text: DOI
Yıldız, Sevda \(\mathcal{F}\)-relative \(\mathcal{A}\)-summation process for double sequences and abstract Korovkin type theorems. (English) Zbl 1499.40063 Hacet. J. Math. Stat. 50, No. 4, 1047-1062 (2021). MSC: 40C05 41A36 46E30 47B38 PDFBibTeX XMLCite \textit{S. Yıldız}, Hacet. J. Math. Stat. 50, No. 4, 1047--1062 (2021; Zbl 1499.40063) Full Text: DOI
Duman, Oktay; Della Vecchia, Biancamaria Complex Shepard operators and their summability. (English) Zbl 1477.30034 Result. Math. 76, No. 4, Paper No. 214, 19 p. (2021). MSC: 30E10 PDFBibTeX XMLCite \textit{O. Duman} and \textit{B. Della Vecchia}, Result. Math. 76, No. 4, Paper No. 214, 19 p. (2021; Zbl 1477.30034) Full Text: DOI
Alemdar, Meryem Ece; Duman, Oktay General summability methods in the approximation by Bernstein-Chlodovsky operators. (English) Zbl 1478.40003 Numer. Funct. Anal. Optim. 42, No. 5, 497-509 (2021). MSC: 40C05 41A36 41A25 PDFBibTeX XMLCite \textit{M. E. Alemdar} and \textit{O. Duman}, Numer. Funct. Anal. Optim. 42, No. 5, 497--509 (2021; Zbl 1478.40003) Full Text: DOI
Aslan, Ismail; Duman, Oktay Nonlinear approximation in \(N\)-dimension with the help of summability methods. (English) Zbl 07358920 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 105, 27 p. (2021). MSC: 47G10 41A25 PDFBibTeX XMLCite \textit{I. Aslan} and \textit{O. Duman}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 105, 27 p. (2021; Zbl 07358920) Full Text: DOI
Aslan, İsmail Approximation by sampling type discrete operators. (English) Zbl 1489.41009 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 69, No. 1, 969-980 (2020). MSC: 41A35 40C05 PDFBibTeX XMLCite \textit{İ. Aslan}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 69, No. 1, 969--980 (2020; Zbl 1489.41009) Full Text: DOI
Aslan, İsmail; Duman, Oktay Characterization of absolute and uniform continuity. (English) Zbl 1488.26032 Hacet. J. Math. Stat. 49, No. 5, 1550-1565 (2020). MSC: 26A46 26A45 26B30 41A35 47G10 PDFBibTeX XMLCite \textit{İ. Aslan} and \textit{O. Duman}, Hacet. J. Math. Stat. 49, No. 5, 1550--1565 (2020; Zbl 1488.26032) Full Text: DOI
Turkun, Can; Duman, Oktay Modified neural network operators and their convergence properties with summability methods. (English) Zbl 1440.41011 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 3, Paper No. 132, 18 p. (2020). Reviewer: Vijay Gupta (New Delhi) MSC: 41A25 40F05 PDFBibTeX XMLCite \textit{C. Turkun} and \textit{O. Duman}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 3, Paper No. 132, 18 p. (2020; Zbl 1440.41011) Full Text: DOI
Aslan, Ismail; Duman, Oktay Summability on Mellin-type nonlinear integral operators. (English) Zbl 1436.41013 Integral Transforms Spec. Funct. 30, No. 6, 492-511 (2019). Reviewer: Vijay Gupta (New Delhi) MSC: 41A36 41A25 41A30 PDFBibTeX XMLCite \textit{I. Aslan} and \textit{O. Duman}, Integral Transforms Spec. Funct. 30, No. 6, 492--511 (2019; Zbl 1436.41013) Full Text: DOI
Kolay, Burçak; Orhan, Sevda; Demirci, Kamil Statistical relative \(\mathcal{A}\)-summation process and Korovkin-type approximation theorem on modular spaces. (English) Zbl 1397.41008 Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 2, 683-692 (2018). MSC: 41A36 PDFBibTeX XMLCite \textit{B. Kolay} et al., Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 2, 683--692 (2018; Zbl 1397.41008) Full Text: DOI
Yurdakadim, Tuǧba; Taş, Emre; Atlihan, Özlem Girgin Summation process of convolution operators for multivariables. (English) Zbl 1438.41041 Sarajevo J. Math. 13(26), No. 2, 207-216 (2017). MSC: 41A36 40A05 41A25 41A35 PDFBibTeX XMLCite \textit{T. Yurdakadim} et al., Sarajevo J. Math. 13(26), No. 2, 207--216 (2017; Zbl 1438.41041)
Atlihan, Özlem Girgin; Ünver, Mehmet; Duman, Oktay Korovkin theorems on weighted spaces: revisited. (English) Zbl 1399.41039 Period. Math. Hung. 75, No. 2, 201-209 (2017). Reviewer: Ioan Raşa (Cluj-Napoca) MSC: 41A36 40G15 40C15 PDFBibTeX XMLCite \textit{Ö. G. Atlihan} et al., Period. Math. Hung. 75, No. 2, 201--209 (2017; Zbl 1399.41039) Full Text: DOI
Aslan, İsmail; Duman, Oktay A summability process on Baskakov-type approximation. (English) Zbl 1389.40021 Period. Math. Hung. 72, No. 2, 186-199 (2016). Reviewer: Toivo Leiger (Tartu) MSC: 40C05 40D05 40G05 41A36 PDFBibTeX XMLCite \textit{İ. Aslan} and \textit{O. Duman}, Period. Math. Hung. 72, No. 2, 186--199 (2016; Zbl 1389.40021) Full Text: DOI
Duman, Oktay Singular approximation in polydiscs by summability process. (English) Zbl 1351.41017 Positivity 20, No. 3, 663-676 (2016). MSC: 41A35 40C05 30E10 PDFBibTeX XMLCite \textit{O. Duman}, Positivity 20, No. 3, 663--676 (2016; Zbl 1351.41017) Full Text: DOI
O. G. Atlihan, Ö. G.; Taş, E. An abstract version of the Korovkin theorem via \(\mathcal{A}\)-summation process. (English) Zbl 1363.41022 Acta Math. Hung. 145, No. 2, 360-368 (2015). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A36 41A25 47B38 PDFBibTeX XMLCite \textit{Ö. G. O. G. Atlihan} and \textit{E. Taş}, Acta Math. Hung. 145, No. 2, 360--368 (2015; Zbl 1363.41022) Full Text: DOI
Akdağ, Sevda Summation process of positive linear operators in two-dimensional weighted spaces. (English) Zbl 1389.41025 Math. Slovaca 65, No. 6, 1475-1490 (2015). MSC: 41A36 40G15 41A25 47B38 PDFBibTeX XMLCite \textit{S. Akdağ}, Math. Slovaca 65, No. 6, 1475--1490 (2015; Zbl 1389.41025) Full Text: DOI
Duman, Oktay Summability process by Mastroianni operators and their generalizations. (English) Zbl 1321.40003 Mediterr. J. Math. 12, No. 1, 21-35 (2015). Reviewer: Jeremy Wade (Pittsburg) MSC: 40A30 41A36 40C05 40D05 40G05 PDFBibTeX XMLCite \textit{O. Duman}, Mediterr. J. Math. 12, No. 1, 21--35 (2015; Zbl 1321.40003) Full Text: DOI
Orhan, C.; Sakaoǧlu, I. Rate of convergence in \(L_p\) approximation. (English) Zbl 1324.41019 Period. Math. Hung. 68, No. 2, 176-184 (2014). Reviewer: Wlodzimierz Lenski (Poznan) MSC: 41A25 41A36 40A05 PDFBibTeX XMLCite \textit{C. Orhan} and \textit{I. Sakaoǧlu}, Period. Math. Hung. 68, No. 2, 176--184 (2014; Zbl 1324.41019) Full Text: DOI
Karakuş, Sevda; Demirci, Kamil \(\mathcal A\)-summation process and Korovkin-type approximation theorem for double sequences of positive linear operators. (English) Zbl 1274.41032 Math. Slovaca 62, No. 2, 281-292 (2012). Reviewer: Ekrem Savas (Istanbul) MSC: 41A25 PDFBibTeX XMLCite \textit{S. Karakuş} and \textit{K. Demirci}, Math. Slovaca 62, No. 2, 281--292 (2012; Zbl 1274.41032) Full Text: DOI
Atlihan, Özlem G.; ịnce, H. Gül; Orhan, Cihan Some variations of the Bohman-Korovkin theorem. (English) Zbl 1185.41019 Math. Comput. Modelling 50, No. 7-8, 1205-1210 (2009). MSC: 41A36 40C05 PDFBibTeX XMLCite \textit{Ö. G. Atlihan} et al., Math. Comput. Modelling 50, No. 7--8, 1205--1210 (2009; Zbl 1185.41019) Full Text: DOI