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, 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, 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, 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
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, 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
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
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
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
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, 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
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
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
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
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
Tephnadze, George On the partial sums of Vilenkin-Fourier series. (English) Zbl 1345.43002 J. Contemp. Math. Anal., Armen. Acad. Sci. 49, No. 1, 23-32 (2014) and Izv. Nats. Akad. Nauk Armen., Mat. 49, No. 1, 60-72 (2014). Reviewer: Sergey S. Volosivets (Saratov) MSC: 43A17 43A15 43A75 PDFBibTeX XMLCite \textit{G. Tephnadze}, J. Contemp. Math. Anal., Armen. Acad. Sci. 49, No. 1, 23--32 (2014; Zbl 1345.43002) 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. 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