Baramidze, Davit; Blahota, István; Tephnadze, George; Toledo, Rodolfo Martingale Hardy spaces and some new weighted maximal operators of Fejér means of Walsh-Fourier series. (English) Zbl 1527.42040 J. Geom. Anal. 34, No. 1, Paper No. 3, 17 p. (2024). MSC: 42C10 42B30 42B25 PDFBibTeX XMLCite \textit{D. Baramidze} et al., J. Geom. Anal. 34, No. 1, Paper No. 3, 17 p. (2024; Zbl 1527.42040) Full Text: DOI OA License
Nadirashvili, Nato; Tephnadze, Giorgi; Tutberidze, Giorgi The norm and almost everywhere convergence of approximate identity and Fejér means of trigonometric and Vilenkin systems. (English) Zbl 07819455 Trans. A. Razmadze Math. Inst. 177, No. 3, 451-461 (2023). MSC: 42C10 PDFBibTeX XMLCite \textit{N. Nadirashvili} et al., Trans. A. Razmadze Math. Inst. 177, No. 3, 451--461 (2023; Zbl 07819455) Full Text: Link
Baramidze, D.; Tephnadze, G. Some new weak-(\(H_p-L_p\)) type inequalities for weighted maximal operators of Fejér means of Walsh-Fourier series. (English) Zbl 07794382 Acta Math. Hung. 171, No. 2, 267-283 (2023). MSC: 42C10 42B30 PDFBibTeX XMLCite \textit{D. Baramidze} and \textit{G. Tephnadze}, Acta Math. Hung. 171, No. 2, 267--283 (2023; Zbl 07794382) Full Text: DOI
Baramidze, Davit; Nadirashvili, Nato; Persson, Lars-Erik; Tephnadze, George Some weak type inequalities and almost everywhere convergence of Vilenkin-Nörlund means. (English) Zbl 07778063 J. Inequal. Appl. 2023, Paper No. 66, 17 p. (2023). MSC: 42C10 42B30 PDFBibTeX XMLCite \textit{D. Baramidze} et al., J. Inequal. Appl. 2023, Paper No. 66, 17 p. (2023; Zbl 07778063) Full Text: DOI
Baramidze, David; Persson, Lars-Erik; Tangrand, Kristoffer; Tephnadze, George \((H_p-L_p)\)-type inequalities for subsequences of Nörlund means of Walsh-Fourier series. (English) Zbl 07778049 J. Inequal. Appl. 2023, Paper No. 52, 13 p. (2023). MSC: 42C10 42B30 26D15 PDFBibTeX XMLCite \textit{D. Baramidze} et al., J. Inequal. Appl. 2023, Paper No. 52, 13 p. (2023; Zbl 07778049) Full Text: DOI arXiv
Baramidze, Davit; Baramidze, Lasha; Perssson, Lars-Erik; Tephnadze, George Some new restricted maximal operators of Fejér means of Walsh-Fourier series. (English) Zbl 07758028 Banach J. Math. Anal. 17, No. 4, Paper No. 75, 20 p. (2023). Reviewer: Wilfredo Urbina (Chicago) MSC: 42C10 42B30 42B25 PDFBibTeX XMLCite \textit{D. Baramidze} et al., Banach J. Math. Anal. 17, No. 4, Paper No. 75, 20 p. (2023; Zbl 07758028) Full Text: DOI OA License
Tephnadze, George Martingale Hardy spaces and partial sums and Fejér means with respect to the one-dimensional Walsh-Fourier series. (English) Zbl 1522.42058 Mem. Differ. Equ. Math. Phys. 88, 109-158 (2023). MSC: 42C10 42B35 PDFBibTeX XMLCite \textit{G. Tephnadze}, Mem. Differ. Equ. Math. Phys. 88, 109--158 (2023; Zbl 1522.42058) Full Text: arXiv Link
Baramidze, David; Persson, Lars-Erik; Singh, Harpal; Tephnadze, George Some new weak (\(H_p\)-\(L_p\))-type inequality for weighted maximal operators of partial sums of Walsh-Fourier series. (English) Zbl 1522.42057 Mediterr. J. Math. 20, No. 5, Paper No. 284, 13 p. (2023). MSC: 42C10 42B25 26D10 PDFBibTeX XMLCite \textit{D. Baramidze} et al., Mediterr. J. Math. 20, No. 5, Paper No. 284, 13 p. (2023; Zbl 1522.42057) Full Text: DOI arXiv
Baramidze, Davit; Persson, Lars-Erik; Tephnadze, George Some new \((H_p -L_p)\) type inequalities for weighted maximal operators of partial sums of Walsh-Fourier series. (English) Zbl 1518.42038 Positivity 27, No. 3, Paper No. 38, 14 p. (2023). MSC: 42C10 42B08 42B25 26D10 PDFBibTeX XMLCite \textit{D. Baramidze} et al., Positivity 27, No. 3, Paper No. 38, 14 p. (2023; Zbl 1518.42038) Full Text: DOI
Areshidze, N.; Persson, L. -E.; Tephnadze, G. On the divergence of Féjer means with respect to Vilenkin systems on the set of measure zero. arXiv:2311.13780 Preprint, arXiv:2311.13780 [math.CA] (2023). MSC: 42C10 42B25 BibTeX Cite \textit{N. Areshidze} et al., ``On the divergence of F\'ejer means with respect to Vilenkin systems on the set of measure zero'', Preprint, arXiv:2311.13780 [math.CA] (2023) Full Text: arXiv OA License
Areshidze, N.; Tephnadze, G. Approximation by Nörlund means with respect to Walsh system in Lebesgue spaces. arXiv:2311.12434 Preprint, arXiv:2311.12434 [math.CA] (2023). MSC: 42C10 42B30 BibTeX Cite \textit{N. Areshidze} and \textit{G. Tephnadze}, ``Approximation by N\"orlund means with respect to Walsh system in Lebesgue spaces'', Preprint, arXiv:2311.12434 [math.CA] (2023) Full Text: arXiv OA License
Baramidze, Davit; Persson, Lars-Erik; Tephnadze, George Some new restricted maximal operators of Fejér means of Walsh-Fourier series in the space \(H_{1/2}\). arXiv:2302.12997 Preprint, arXiv:2302.12997 [math.CA] (2023). MSC: 42C10 BibTeX Cite \textit{D. Baramidze} et al., ``Some new restricted maximal operators of Fej\'er means of Walsh-Fourier series in the space $H_{1/2}$'', Preprint, arXiv:2302.12997 [math.CA] (2023) Full Text: arXiv OA License
Areshidze, Nika; Baramidze, Davit; Persson, Lars-Erik; Tephnadze, George Weighted maximal operators of Fejér means of Walsh-Fourier series in the martingale Hardy space \(H_{1/2}\). arXiv:2302.12302 Preprint, arXiv:2302.12302 [math.CA] (2023). MSC: 42C10 BibTeX Cite \textit{N. Areshidze} et al., ``Weighted maximal operators of Fej\'er means of Walsh-Fourier series in the martingale Hardy space $H_{1/2}$'', Preprint, arXiv:2302.12302 [math.CA] (2023) Full Text: arXiv OA License
Nadirashvili, Nato; Persson, Lars-Erik; Tephnadze, George; Weisz, Ferenc Vilenkin-Lebesgue points and almost everywhere convergence for some classical summability methods. (English) Zbl 1501.42006 Mediterr. J. Math. 19, No. 5, Paper No. 239, 16 p. (2022). MSC: 42C10 42A24 PDFBibTeX XMLCite \textit{N. Nadirashvili} et al., Mediterr. J. Math. 19, No. 5, Paper No. 239, 16 p. (2022; Zbl 1501.42006) Full Text: DOI
Persson, Lars-Erik; Tephnadze, George; Weisz, Ferenc Martingale Hardy spaces and summability of the one-dimensional Vilenkin-Fourier series. (English) Zbl 1512.42042 Cham: Birkhäuser (ISBN 978-3-031-14458-5/hbk; 978-3-031-14461-5/pbk; 978-3-031-14459-2). xvi, 626 p. (2022). Reviewer: Iris Athamaica López Palacios (Caracas) MSC: 42C10 40F05 42A38 42B25 42B05 42B08 42B30 43A75 60G42 PDFBibTeX XMLCite \textit{L.-E. Persson} et al., Martingale Hardy spaces and summability of the one-dimensional Vilenkin-Fourier series. Cham: Birkhäuser (2022; Zbl 1512.42042) Full Text: DOI
Persson, L.-E.; Schipp, F.; Tephnadze, G.; Weisz, F. An analogy of the Carleson-Hunt theorem with respect to Vilenkin systems. (English) Zbl 1492.42032 J. Fourier Anal. Appl. 28, No. 3, Paper No. 48, 29 p. (2022). Reviewer: Iris Athamaica Lopez Palacios (Caracas) MSC: 42C10 42B25 42A16 42A24 PDFBibTeX XMLCite \textit{L. E. Persson} et al., J. Fourier Anal. Appl. 28, No. 3, Paper No. 48, 29 p. (2022; Zbl 1492.42032) Full Text: DOI
Baramidze, David; Persson, Lars-Erik; Singh, Harpal; Tephnadze, George Some new results and inequalities for subsequences of Nörlund logarithmic means of Walsh-Fourier series. (English) Zbl 1506.42036 J. Inequal. Appl. 2022, Paper No. 30, 13 p. (2022). MSC: 42C10 42B25 60G42 42B30 PDFBibTeX XMLCite \textit{D. Baramidze} et al., J. Inequal. Appl. 2022, Paper No. 30, 13 p. (2022; Zbl 1506.42036) Full Text: DOI
Nadirashvili, N.; Tephnadze, G.; Tutberidze, G. Almost everywhere and norm convergence of Approximate Identity and Fejér means of trigonometric and Vilenkin systems. arXiv:2205.07876 Preprint, arXiv:2205.07876 [math.CA] (2022). MSC: 42C10 BibTeX Cite \textit{N. Nadirashvili} et al., ``Almost everywhere and norm convergence of Approximate Identity and Fej\'er means of trigonometric and Vilenkin systems'', Preprint, arXiv:2205.07876 [math.CA] (2022) Full Text: arXiv OA License
Baramidze, D.; Persson, L. -E.; Singh, H.; Tephnadze, G. Some new results for subsequences of Nörlund logarithmic means of Walsh-Fourier series. arXiv:2201.08493 Preprint, arXiv:2201.08493 [math.CA] (2022). MSC: 42C10 BibTeX Cite \textit{D. Baramidze} et al., ``Some new results for subsequences of N\"orlund logarithmic means of Walsh-Fourier series'', Preprint, arXiv:2201.08493 [math.CA] (2022) Full Text: arXiv OA License
Persson, L.-E.; Tephnadze, G.; Tutberidze, G.; Wall, P. Some new results on the strong convergence of Fejér means with respect to Vilenkin systems. (English) Zbl 1479.42075 Ukr. Math. J. 73, No. 4, 635-648 (2021) and Ukr. Mat. Zh. 73, No. 4, 544-555 (2021). MSC: 42C10 42A20 PDFBibTeX XMLCite \textit{L. E. Persson} et al., Ukr. Math. J. 73, No. 4, 635--648 (2021; Zbl 1479.42075) Full Text: DOI arXiv
Gogolashvili, Nata; Tephnadze, George Maximal operators of \(T\) means with respect to Walsh-Kaczmarz system. (English) Zbl 1510.42029 Math. Inequal. Appl. 24, No. 3, 737-750 (2021). MSC: 42B25 42C10 26D10 PDFBibTeX XMLCite \textit{N. Gogolashvili} and \textit{G. Tephnadze}, Math. Inequal. Appl. 24, No. 3, 737--750 (2021; Zbl 1510.42029) Full Text: DOI arXiv
Gogolashvili, Nata; Tephnadze, George On the maximal operators of \(T\) means with respect to Walsh-Kaczmarz system. (English) Zbl 1488.42122 Stud. Sci. Math. Hung. 58, No. 1, 119-135 (2021). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 PDFBibTeX XMLCite \textit{N. Gogolashvili} and \textit{G. Tephnadze}, Stud. Sci. Math. Hung. 58, No. 1, 119--135 (2021; Zbl 1488.42122) Full Text: DOI
Tephnadze, George A note on the strong summability of two-dimensional Walsh-Fourier series. (English) Zbl 1473.42032 Georgian Math. J. 28, No. 3, 477-482 (2021). Reviewer: S. F. Lukomskii (Saratov) MSC: 42C10 42A24 43A55 PDFBibTeX XMLCite \textit{G. Tephnadze}, Georgian Math. J. 28, No. 3, 477--482 (2021; Zbl 1473.42032) Full Text: DOI arXiv
Gogolashvili, Nata; Nagy, Károly; Tephnadze, George Strong convergence theorem for Walsh-Kaczmarz-Fejér means. (English) Zbl 1456.42035 Mediterr. J. Math. 18, No. 2, Paper No. 37, 17 p. (2021). MSC: 42C10 42B25 60G46 PDFBibTeX XMLCite \textit{N. Gogolashvili} et al., Mediterr. J. Math. 18, No. 2, Paper No. 37, 17 p. (2021; Zbl 1456.42035) Full Text: DOI arXiv
Lukkassen, D.; Persson, L. E.; Tephnadze, G.; Tutberidze, G. Some inequalities related to strong convergence of Riesz logarithmic means. (English) Zbl 1503.26064 J. Inequal. Appl. 2020, Paper No. 79, 17 p. (2020). MSC: 26D15 26D20 42B25 42C10 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., J. Inequal. Appl. 2020, Paper No. 79, 17 p. (2020; Zbl 1503.26064) Full Text: DOI arXiv
Persson, Lars-Erik; Tephnadze, George; Tutberidze, Georgi On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces. (English) Zbl 1465.42031 Oper. Matrices 14, No. 1, 283-294 (2020). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C10 42B25 PDFBibTeX XMLCite \textit{L.-E. Persson} et al., Oper. Matrices 14, No. 1, 283--294 (2020; Zbl 1465.42031) Full Text: DOI arXiv
Tephnadze, George; Tutberidze, Giorgi A note on the maximal operators of the Nörlund logarithmic means of Vilenkin-Fourier series. (A note on the maximal operators of the Nörlund logaritmic means of Vilenkin-Fourier series.) (English) Zbl 1516.42022 Trans. A. Razmadze Math. Inst. 174, No. 1, 107-112 (2020). MSC: 42C10 42B25 PDFBibTeX XMLCite \textit{G. Tephnadze} and \textit{G. Tutberidze}, Trans. A. Razmadze Math. Inst. 174, No. 1, 107--112 (2020; Zbl 1516.42022) Full Text: arXiv Link
Tephnadze, G. Convergence and strong summability of the two-dimensional Vilenkin-Fourier series. (English) Zbl 1443.42018 Nonlinear Stud. 26, No. 4, 973-989 (2019). MSC: 42C10 42B25 42B30 PDFBibTeX XMLCite \textit{G. Tephnadze}, Nonlinear Stud. 26, No. 4, 973--989 (2019; Zbl 1443.42018) Full Text: arXiv Link
Blahota, István; Nagy, Károly; Tephnadze, George Approximation by Marcinkiewicz \(\Theta \)-means of double Walsh-Fourier series. (English) Zbl 1425.42030 Math. Inequal. Appl. 22, No. 3, 837-853 (2019). MSC: 42C10 PDFBibTeX XMLCite \textit{I. Blahota} et al., Math. Inequal. Appl. 22, No. 3, 837--853 (2019; Zbl 1425.42030) Full Text: DOI
Blahota, István; Nagy, Karoly; Persson, Lars-Erik; Tephnadze, George A sharp boundedness result for restricted maximal operators of Vilenkin-Fourier series on martingale Hardy spaces. (English) Zbl 1440.42127 Georgian Math. J. 26, No. 3, 351-360 (2019). MSC: 42C10 42B25 PDFBibTeX XMLCite \textit{I. Blahota} et al., Georgian Math. J. 26, No. 3, 351--360 (2019; Zbl 1440.42127) Full Text: DOI arXiv
Tephnadze, George On the Partial Sums and Marcinkiewicz and Fejér Means on the One- and Two-dimensional One-parameter Martingale Hardy Spaces. arXiv:1902.06696 Preprint, arXiv:1902.06696 [math.CA] (2019). MSC: 42C10 BibTeX Cite \textit{G. Tephnadze}, ``On the Partial Sums and Marcinkiewicz and Fej\'er Means on the One- and Two-dimensional One-parameter Martingale Hardy Spaces'', Preprint, arXiv:1902.06696 [math.CA] (2019) Full Text: arXiv OA License
Tephnadze, G. On the convergence of partial sums with respect to Vilenkin system on the martingale Hardy spaces. (English) Zbl 1412.42071 J. Contemp. Math. Anal., Armen. Acad. Sci. 53, No. 5, 294-306 (2018) and Izv. Nats. Akad. Nauk Armen., Mat. 53, No. 5, 77-94 (2018). Reviewer: S. F. Lukomskii (Saratov) MSC: 42C10 PDFBibTeX XMLCite \textit{G. Tephnadze}, J. Contemp. Math. Anal., Armen. Acad. Sci. 53, No. 5, 294--306 (2018; Zbl 1412.42071) Full Text: DOI arXiv
Persson, L.-E.; Tephnadze, G.; Wall, P. On the Nörlund logarithmic means with respect to Vilenkin system in the martingale Hardy space \(H_1\). (English) Zbl 1399.42082 Acta Math. Hung. 154, No. 2, 289-301 (2018). Reviewer: Alexei Lukashov (Saratov) MSC: 42C10 42B25 PDFBibTeX XMLCite \textit{L. E. Persson} et al., Acta Math. Hung. 154, No. 2, 289--301 (2018; Zbl 1399.42082) Full Text: DOI
Persson, L. E.; Tephnadze, G.; Wall, P. On an approximation of 2-dimensional Walsh-Fourier series in martingale Hardy spaces. (English) Zbl 1382.42017 Ann. Funct. Anal. 9, No. 1, 137-150 (2018). MSC: 42C10 42B25 PDFBibTeX XMLCite \textit{L. E. Persson} et al., Ann. Funct. Anal. 9, No. 1, 137--150 (2018; Zbl 1382.42017) Full Text: DOI Euclid
Blahota, I.; Persson, L. E.; Tephnadze, G. Two-sided estimates of the Lebesgue constants with respect to Vilenkin systems and applications. (English) Zbl 1379.42012 Glasg. Math. J. 60, No. 1, 17-34 (2018). MSC: 42C10 PDFBibTeX XMLCite \textit{I. Blahota} et al., Glasg. Math. J. 60, No. 1, 17--34 (2018; Zbl 1379.42012) Full Text: DOI
Tephnadze, George Ph.D. Thesis-Martingale Hardy spaces and summability of the one dimensional Vilenkin-Fourier series. arXiv:1803.00627 Preprint, arXiv:1803.00627 [math.CA] (2018). MSC: 42C10 BibTeX Cite \textit{G. Tephnadze}, ``Ph.D. Thesis-Martingale Hardy spaces and summability of the one dimensional Vilenkin-Fourier series'', Preprint, arXiv:1803.00627 [math.CA] (2018) Full Text: arXiv OA License
Persson, L. -E.; Tephnadze, G.; Wall, P. Logarithmic means …]{On the Nörlund logarithmic means with respect to Vilenkin system in the martingale Hardy space \(H_{1}\)}. arXiv:1802.07707 Preprint, arXiv:1802.07707 [math.CA] (2018). MSC: 42C10 BibTeX Cite \textit{L. E. Persson} et al., ``Logarithmic means \dots]{On the N\"orlund logarithmic means with respect to Vilenkin system in the martingale Hardy space $H_{1}$'', Preprint, arXiv:1802.07707 [math.CA] (2018) Full Text: arXiv OA License
Nagy, K.; Tephnadze, G. The Walsh-Kaczmarz-Marcinkiewicz means and Hardy spaces. (English) Zbl 1399.42081 Acta Math. Hung. 149, No. 2, 346-374 (2016). MSC: 42C10 PDFBibTeX XMLCite \textit{K. Nagy} and \textit{G. Tephnadze}, Acta Math. Hung. 149, No. 2, 346--374 (2016; Zbl 1399.42081) Full Text: DOI
Memić, N.; Persson, L. E.; Tephnadze, G. A note on the maximal operators of Vilenkin-Nörlund means with non-increasing coefficients. (English) Zbl 1399.42079 Stud. Sci. Math. Hung. 53, No. 4, 545-556 (2016). MSC: 42C10 42B25 PDFBibTeX XMLCite \textit{N. Memić} et al., Stud. Sci. Math. Hung. 53, No. 4, 545--556 (2016; Zbl 1399.42079) Full Text: DOI
Blahota, I.; Tephnadze, G. A note on maximal operators of Vilenin - Nörlund means. (English) Zbl 1363.42044 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 32, No. 2, 203-213 (2016). MSC: 42C10 42B25 PDFBibTeX XMLCite \textit{I. Blahota} and \textit{G. Tephnadze}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 32, No. 2, 203--213 (2016; Zbl 1363.42044)
Baramidze, Lasha; Persson, Lars-Erik; Tephnadze, George; Wall, Peter Sharp \(H_{p}\)-\(L_{p}\) type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications. (English) Zbl 1352.42037 J. Inequal. Appl. 2016, Paper No. 242, 20 p. (2016). Reviewer: Sibei Yang (Lanzhou) MSC: 42C10 42B25 PDFBibTeX XMLCite \textit{L. Baramidze} et al., J. Inequal. Appl. 2016, Paper No. 242, 20 p. (2016; Zbl 1352.42037) Full Text: DOI
Persson, L.-E.; Tephnadze, G. A sharp boundedness result concerning some maximal operators of Vilenkin-Fejér means. (English) Zbl 1358.42023 Mediterr. J. Math. 13, No. 4, 1841-1853 (2016). Reviewer: Santiago Boza (Barcelona) MSC: 42C10 42B25 PDFBibTeX XMLCite \textit{L. E. Persson} and \textit{G. Tephnadze}, Mediterr. J. Math. 13, No. 4, 1841--1853 (2016; Zbl 1358.42023) Full Text: DOI arXiv
Tephnadze, Giorgi On the convergence of Fejér means of Walsh-Fourier series in the space \(H_p\). (English) Zbl 1358.42024 J. Contemp. Math. Anal., Armen. Acad. Sci. 51, No. 2, 90-102 (2016) and Izv. Nats. Akad. Nauk Armen., Mat. 51, No. 2, 54-70 (2016). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 60G42 PDFBibTeX XMLCite \textit{G. Tephnadze}, J. Contemp. Math. Anal., Armen. Acad. Sci. 51, No. 2, 90--102 (2016; Zbl 1358.42024) Full Text: DOI arXiv
Memić, Nacima; Simon, Ilona; Tephnadze, George Strong convergence of two-dimensional Vilenkin-Fourier series. (English) Zbl 1335.42035 Math. Nachr. 289, No. 4, 485-500 (2016). MSC: 42C10 PDFBibTeX XMLCite \textit{N. Memić} et al., Math. Nachr. 289, No. 4, 485--500 (2016; Zbl 1335.42035) Full Text: DOI arXiv
Nagy, Károly; Tephnadze, George Strong convergence theorem for Walsh-Marcinkiewicz means. (English) Zbl 1338.42037 Math. Inequal. Appl. 19, No. 1, 185-195 (2016). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 60G42 PDFBibTeX XMLCite \textit{K. Nagy} and \textit{G. Tephnadze}, Math. Inequal. Appl. 19, No. 1, 185--195 (2016; Zbl 1338.42037) Full Text: DOI
Blahota, István; Tephnadze, Giorgi; Toledo, Rodolfo Strong convergence theorem of Cesàro means with respect to the Walsh system. (English) Zbl 1338.42035 Tohoku Math. J. (2) 67, No. 4, 573-584 (2015). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 60G42 PDFBibTeX XMLCite \textit{I. Blahota} et al., Tôhoku Math. J. (2) 67, No. 4, 573--584 (2015; Zbl 1338.42035) Full Text: DOI arXiv Euclid
Blahota, István; Persson, Lars-Erik; Tephnadze, Giorgi On the Nörlund means of Vilenkin-Fourier series. (English) Zbl 1374.42054 Czech. Math. J. 65, No. 4, 983-1002 (2015). Reviewer: Giorgi Oniani (Kutaisi) MSC: 42C10 42B25 42B30 PDFBibTeX XMLCite \textit{I. Blahota} et al., Czech. Math. J. 65, No. 4, 983--1002 (2015; Zbl 1374.42054) Full Text: DOI arXiv Link
Tephnadze, George On the maximal operators of Walsh-Kaczmarz-Nörlund means. (English) Zbl 1340.42070 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 31, No. 2, 259-271 (2015). MSC: 42C10 PDFBibTeX XMLCite \textit{G. Tephnadze}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 31, No. 2, 259--271 (2015; Zbl 1340.42070) Full Text: arXiv
Persson, L. E.; Tephnadze, G.; Wall, P. Some new (\(H_p,L_p\)) type inequalities of maximal operators of Vilenkin-Nörlund means with non-decreasing coefficients. (English) Zbl 1329.42030 J. Math. Inequal. 9, No. 4, 1055-1069 (2015). MSC: 42C10 42B25 PDFBibTeX XMLCite \textit{L. E. Persson} et al., J. Math. Inequal. 9, No. 4, 1055--1069 (2015; Zbl 1329.42030) Full Text: DOI arXiv
Tephnadze, George On the partial sums of Walsh-Fourier series. (English) Zbl 1338.42040 Colloq. Math. 141, No. 2, 227-242 (2015). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 60G42 PDFBibTeX XMLCite \textit{G. Tephnadze}, Colloq. Math. 141, No. 2, 227--242 (2015; Zbl 1338.42040) Full Text: DOI arXiv
Persson, L.-E.; Tephnadze, G.; Wall, P. Maximal operators of Vilenkin-Nörlund means. (English) Zbl 1311.42071 J. Fourier Anal. Appl. 21, No. 1, 76-94 (2015). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 42B08 42B25 PDFBibTeX XMLCite \textit{L. E. Persson} et al., J. Fourier Anal. Appl. 21, No. 1, 76--94 (2015; Zbl 1311.42071) Full Text: DOI arXiv
Nagy, Károly; Tephnadze, George Approximation by Marcinkiewicz means of Walsh-Kaczmarz-Fourier series in the Hardy space \(H_{2/3}\). (English) Zbl 1332.42020 Bull. TICMI 18, No. 1, 110-121 (2014). Reviewer: Sergey S. Volosivets (Saratov) MSC: 42C10 43A70 43A17 PDFBibTeX XMLCite \textit{K. Nagy} and \textit{G. Tephnadze}, Bull. TICMI 18, No. 1, 110--121 (2014; Zbl 1332.42020)
Persson, Lars-Erik; Tephnadze, George A note on Vilenkin-Fejér means on the martingale Hardy spaces \(H_p\). (English) Zbl 1326.42035 Bull. TICMI 18, No. 1, 55-64 (2014). MSC: 42C10 PDFBibTeX XMLCite \textit{L.-E. Persson} and \textit{G. Tephnadze}, Bull. TICMI 18, No. 1, 55--64 (2014; Zbl 1326.42035) Full Text: arXiv
Tephnadze, George Approximation by Walsh-Kaczmarz-Fejér means on the Hardy space. (English) Zbl 1324.42043 Acta Math. Sci., Ser. B, Engl. Ed. 34, No. 5, 1593-1602 (2014). MSC: 42C10 42B30 PDFBibTeX XMLCite \textit{G. Tephnadze}, Acta Math. Sci., Ser. B, Engl. Ed. 34, No. 5, 1593--1602 (2014; Zbl 1324.42043) Full Text: DOI arXiv
Nagy, Károly; Tephnadze, George Approximation by Walsh-Marcinkiewicz means on the Hardy space \(H_{2/3}\). (English) Zbl 1311.42070 Kyoto J. Math. 54, No. 3, 641-652 (2014). Reviewer: Jeremy Wade (Pittsburg) MSC: 42C10 PDFBibTeX XMLCite \textit{K. Nagy} and \textit{G. Tephnadze}, Kyoto J. Math. 54, No. 3, 641--652 (2014; Zbl 1311.42070) Full Text: DOI Euclid
Gogatishvili, Amiran; Goginava, Ushangi; Tephnadze, George Relations between some classes of functions of generalized bounded variation. (English) Zbl 1307.42026 Hudzik, Henryk (ed.) et al., Function spaces X. Proceedings of the 10th international conference, Poznań, Poland, July 9–13, 2012. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-25-6/pbk). Banach Center Publications 102, 89-98 (2014). MSC: 42C10 PDFBibTeX XMLCite \textit{A. Gogatishvili} et al., Banach Cent. Publ. 102, 89--98 (2014; Zbl 1307.42026) Full Text: DOI arXiv
Blahota, I.; Tephnadze, G. On the \((C,\alpha)\)-means with respect to the Walsh system. (English) Zbl 1313.42083 Anal. Math. 40, No. 3, 161-174 (2014). MSC: 42C10 PDFBibTeX XMLCite \textit{I. Blahota} and \textit{G. Tephnadze}, Anal. Math. 40, No. 3, 161--174 (2014; Zbl 1313.42083) Full Text: DOI arXiv
Tephnadze, George A note on the norm convergence by Vilenkin-Fejér means. (English) Zbl 1303.42012 Georgian Math. J. 21, No. 4, 511-517 (2014). MSC: 42C10 PDFBibTeX XMLCite \textit{G. Tephnadze}, Georgian Math. J. 21, No. 4, 511--517 (2014; Zbl 1303.42012) Full Text: DOI arXiv
Blahota, István; Tephnadze, Giorgi Strong convergence theorem for Vilenkin-Fejér means. (English) Zbl 1340.42065 Publ. Math. Debr. 85, No. 1-2, 181-196 (2014). Reviewer: Joseph Lakey (Las Cruces) MSC: 42C10 43A55 42A20 30H10 PDFBibTeX XMLCite \textit{I. Blahota} and \textit{G. Tephnadze}, Publ. Math. Debr. 85, No. 1--2, 181--196 (2014; Zbl 1340.42065) Full Text: DOI arXiv
Nagy, Károly; Tephnadze, George Walsh-Marcinkiewicz means and Hardy spaces. (English) Zbl 1300.42003 Cent. Eur. J. Math. 12, No. 8, 1214-1228 (2014). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 43A75 42B30 PDFBibTeX XMLCite \textit{K. Nagy} and \textit{G. Tephnadze}, Cent. Eur. J. Math. 12, No. 8, 1214--1228 (2014; Zbl 1300.42003) Full Text: DOI
Tephnadze, George On the maximal operators of Riesz logarithmic means of Vilenkin-Fourier series. (English) Zbl 1299.42098 Stud. Sci. Math. Hung. 51, No. 1, 105-120 (2014). MSC: 42C10 PDFBibTeX XMLCite \textit{G. Tephnadze}, Stud. Sci. Math. Hung. 51, No. 1, 105--120 (2014; Zbl 1299.42098) Full Text: DOI arXiv
Tephnadze, G. Strong convergence theorems for Walsh-Fejér means. (English) Zbl 1313.42086 Acta Math. Hung. 142, No. 1, 244-259 (2014). Reviewer: Alexei Lukashov (Istanbul) MSC: 42C10 PDFBibTeX XMLCite \textit{G. Tephnadze}, Acta Math. Hung. 142, No. 1, 244--259 (2014; Zbl 1313.42086) Full Text: DOI arXiv
Tephnadze, George On the maximal operators of Walsh-Kaczmarz-Fejér means. (English) Zbl 1299.42097 Period. Math. Hung. 67, No. 1, 33-45 (2013). Reviewer: Sergey S. Volosivets (Saratov) MSC: 42C10 43A75 43A15 PDFBibTeX XMLCite \textit{G. Tephnadze}, Period. Math. Hung. 67, No. 1, 33--45 (2013; Zbl 1299.42097) Full Text: DOI arXiv
Tephnadze, G. A note on the strong convergence of two-dimensional Walsh-Fourier series. (English) Zbl 1290.42056 Proc. A. Razmadze Math. Inst. 162, 93-97 (2013). MSC: 42C10 PDFBibTeX XMLCite \textit{G. Tephnadze}, Proc. A. Razmadze Math. Inst. 162, 93--97 (2013; Zbl 1290.42056) Full Text: arXiv
Tephnadze, G. Strong convergence of two-dimensional Walsh-Fourier series. (English) Zbl 1285.42024 Ukr. Math. J. 65, No. 6, 914-927 (2013) and Ukr. Mat. Zh. 65, No. 6, 822-834 (2013). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C10 PDFBibTeX XMLCite \textit{G. Tephnadze}, Ukr. Math. J. 65, No. 6, 914--927 (2013; Zbl 1285.42024) Full Text: DOI arXiv
Tephnadze, George On the maximal operators of Vilenkin-Fejér means. (English) Zbl 1278.42037 Turk. J. Math. 37, No. 2, 308-318 (2013). Reviewer: Martin Grigoryan (Yerevan) MSC: 42C10 PDFBibTeX XMLCite \textit{G. Tephnadze}, Turk. J. Math. 37, No. 2, 308--318 (2013; Zbl 1278.42037) Full Text: arXiv
Tephnadze, George On the Vilenkin-Fourier coefficients. (English) Zbl 1288.42011 Georgian Math. J. 20, No. 1, 169-177 (2013). Reviewer: Rajendra G. Vyas (Vadodara) MSC: 42C10 PDFBibTeX XMLCite \textit{G. Tephnadze}, Georgian Math. J. 20, No. 1, 169--177 (2013; Zbl 1288.42011) Full Text: DOI arXiv
Tephnadze, George On the maximal operators of Vilenkin-Fejér means on Hardy spaces. (English) Zbl 1263.42008 Math. Inequal. Appl. 16, No. 1, 301-312 (2013). Reviewer: Ushangi Goginava (Tbilisi) MSC: 42C10 PDFBibTeX XMLCite \textit{G. Tephnadze}, Math. Inequal. Appl. 16, No. 1, 301--312 (2013; Zbl 1263.42008) Full Text: DOI arXiv
Tephnadze, George A note on the Fourier coefficients and partial sums of Vilenkin-Fourier series. (English) Zbl 1289.42084 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 28, No. 2, 167-176 (2012). MSC: 42C10 PDFBibTeX XMLCite \textit{G. Tephnadze}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 28, No. 2, 167--176 (2012; Zbl 1289.42084) Full Text: arXiv
Tephnadze, George Fejér means of Vilenkin-Fourier series. (English) Zbl 1265.42099 Stud. Sci. Math. Hung. 49, No. 1, 79-90 (2012). Reviewer: Sergey S. Volosivets (Saratov) MSC: 42C10 60G42 60G46 PDFBibTeX XMLCite \textit{G. Tephnadze}, Stud. Sci. Math. Hung. 49, No. 1, 79--90 (2012; Zbl 1265.42099) Full Text: DOI arXiv
Tephnadze, George The maximal operators of logarithmic means of one-dimensional Vilenkin-Fourier series. (English) Zbl 1265.42100 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 27, No. 2, 245-256 (2011). MSC: 42C10 PDFBibTeX XMLCite \textit{G. Tephnadze}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 27, No. 2, 245--256 (2011; Zbl 1265.42100) Full Text: arXiv