Tsagareishvili, Vakhtang The variation of general Fourier coefficients. (English) Zbl 07787827 Funct. Approximatio, Comment. Math. 69, No. 1, 27-42 (2023). MSC: 42A16 42C10 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Funct. Approximatio, Comment. Math. 69, No. 1, 27--42 (2023; Zbl 07787827) Full Text: DOI
Tsagareishvili, Vakhtang On the majorants of general Fourier coefficients and best approximations. (English) Zbl 07692687 Publ. Math. Debr. 102, No. 3-4, 475-494 (2023). MSC: 42C10 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Publ. Math. Debr. 102, No. 3--4, 475--494 (2023; Zbl 07692687) Full Text: DOI
Tsagareishvili, V.; Tutberidze, G. Some problems of convergence of general Fourier series. (English) Zbl 1510.42008 J. Contemp. Math. Anal., Armen. Acad. Sci. 57, No. 6, 369-379 (2022) and Izv. Nats. Akad. Nauk Armen., Mat. 57, No. 6, 70-80 (2022). MSC: 42A20 42A16 42C10 PDFBibTeX XMLCite \textit{V. Tsagareishvili} and \textit{G. Tutberidze}, J. Contemp. Math. Anal., Armen. Acad. Sci. 57, No. 6, 369--379 (2022; Zbl 1510.42008) Full Text: DOI arXiv
Gogoladze, L.; Tsagareishvili, V. Unconditional convergence of general Fourier series. (English. Russian original) Zbl 1511.42026 Proc. Steklov Inst. Math. 319, 74-84 (2022); translation from Tr. Mat. Inst. Steklova 319, 83-93 (2022). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42C10 42C15 42A20 26A16 PDFBibTeX XMLCite \textit{L. Gogoladze} and \textit{V. Tsagareishvili}, Proc. Steklov Inst. Math. 319, 74--84 (2022; Zbl 1511.42026); translation from Tr. Mat. Inst. Steklova 319, 83--93 (2022) Full Text: DOI
Tsagareishvili, V. Problems of unconditional convergence. (English) Zbl 1524.42057 Anal. Math. 48, No. 4, 1213-1229 (2022). Reviewer: Joseph Lakey (Las Cruces) MSC: 42C10 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Anal. Math. 48, No. 4, 1213--1229 (2022; Zbl 1524.42057) Full Text: DOI
Tsagareishvili, Vakhtang Properties of general Fourier coefficients of differentiable functions. (English) Zbl 1507.42023 Georgian Math. J. 29, No. 6, 923-938 (2022). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42C10 26A45 26A16 40A30 42A20 42A16 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Georgian Math. J. 29, No. 6, 923--938 (2022; Zbl 1507.42023) Full Text: DOI
Tsagareishvili, V. Smooth functions and general Fourier coefficients. (English) Zbl 1497.42054 J. Contemp. Math. Anal., Armen. Acad. Sci. 57, No. 2, 102-111 (2022) and Izv. Nats. Akad. Nauk Armen., Mat. 57, No. 2, 70-80 (2022). MSC: 42C10 42A16 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, J. Contemp. Math. Anal., Armen. Acad. Sci. 57, No. 2, 102--111 (2022; Zbl 1497.42054) Full Text: DOI
Tsagareishvili, Vakhtang Lipschitz class functions and their general Fourier coefficients. (English) Zbl 1497.42004 Math. Slovaca 72, No. 3, 709-718 (2022). Reviewer: Alexander Ulanovskii (Stavanger) MSC: 42A16 42C10 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Math. Slovaca 72, No. 3, 709--718 (2022; Zbl 1497.42004) Full Text: DOI
Tsagareishvili, Vakhtang Differentiable functions and their Fourier coefficients. (English) Zbl 1494.42002 Georgian Math. J. 29, No. 3, 471-480 (2022). Reviewer: Mohammad Sababheh (Amman) MSC: 42A16 42C10 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Georgian Math. J. 29, No. 3, 471--480 (2022; Zbl 1494.42002) Full Text: DOI
Tsagareishvili, Vakhtang; Tutberidze, Giorgi Absolute convergence factors of Lipschitz class functions for general Fourier series. (English) Zbl 1492.42001 Georgian Math. J. 29, No. 2, 309-315 (2022). MSC: 42A20 42A16 42C10 46B07 PDFBibTeX XMLCite \textit{V. Tsagareishvili} and \textit{G. Tutberidze}, Georgian Math. J. 29, No. 2, 309--315 (2022; Zbl 1492.42001) Full Text: DOI arXiv
Tsagareishvili, V. The variation of general Fourier coefficients of Lipschitz class functions. (English) Zbl 1499.42127 Acta Math. Hung. 166, No. 1, 142-161 (2022). Reviewer: Joseph Lakey (Las Cruces) MSC: 42C10 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Acta Math. Hung. 166, No. 1, 142--161 (2022; Zbl 1499.42127) Full Text: DOI
Tsagareishvili, V. Some properties of general Fourier coefficients of Lipschitz functions. (English) Zbl 1488.42127 Anal. Math. 47, No. 1, 229-241 (2021). Reviewer: Wenchang Sun (Tianjin) MSC: 42C10 42A16 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Anal. Math. 47, No. 1, 229--241 (2021; Zbl 1488.42127) Full Text: DOI
Tsagareishvili, Vakhtang Some properties of general orthonormal systems. (English) Zbl 1486.42046 Colloq. Math. 162, No. 2, 201-209 (2020). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C10 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Colloq. Math. 162, No. 2, 201--209 (2020; Zbl 1486.42046) Full Text: DOI
Tsagareishvili, V. Some particular properties of general orthonormal systems. (English) Zbl 1474.42113 Period. Math. Hung. 81, No. 1, 149-157 (2020). Reviewer: Joseph Lakey (Las Cruces) MSC: 42C10 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Period. Math. Hung. 81, No. 1, 149--157 (2020; Zbl 1474.42113) Full Text: DOI
Tsagareishvili, Vakhtang Sh. General orthonormal systems and absolute convergence. (English. Russian original) Zbl 1458.42003 Izv. Math. 84, No. 4, 816-828 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 4, 208-220 (2020). Reviewer: Enji Sato (Yamagata) MSC: 42A20 42C10 42A16 PDFBibTeX XMLCite \textit{V. Sh. Tsagareishvili}, Izv. Math. 84, No. 4, 816--828 (2020; Zbl 1458.42003); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 4, 208--220 (2020) Full Text: DOI
Tsagareishvili, V. Sh. Generalization of Golubov’s result for the Haar system. (English. Russian original) Zbl 1442.42013 Math. Notes 107, No. 1, 182-185 (2020); translation from Mat. Zametki 107, No. 1, 154-157 (2020). MSC: 42A16 42C10 PDFBibTeX XMLCite \textit{V. Sh. Tsagareishvili}, Math. Notes 107, No. 1, 182--185 (2020; Zbl 1442.42013); translation from Mat. Zametki 107, No. 1, 154--157 (2020) Full Text: DOI
Tsagareishvili, Vakhtang Some properties of an odd-dimensional space. (English) Zbl 1440.42138 Georgian Math. J. 27, No. 2, 321-330 (2020). MSC: 42C10 46B07 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Georgian Math. J. 27, No. 2, 321--330 (2020; Zbl 1440.42138) Full Text: DOI
Gogoladze, Larry; Tsagareishvili, Vakhtang Differentiable functions and general orthonormal systems. (English) Zbl 1467.42002 Mosc. Math. J. 19, No. 4, 695-707 (2019). Reviewer: Iris Athamaica Lopez Palacios (Caracas) MSC: 42A16 42C10 PDFBibTeX XMLCite \textit{L. Gogoladze} and \textit{V. Tsagareishvili}, Mosc. Math. J. 19, No. 4, 695--707 (2019; Zbl 1467.42002) Full Text: Link
Gogoladze, L.; Tsagareishvili, V. General Fourier coefficients. (English) Zbl 1438.42054 Acta Math. Hung. 158, No. 1, 109-131 (2019). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 PDFBibTeX XMLCite \textit{L. Gogoladze} and \textit{V. Tsagareishvili}, Acta Math. Hung. 158, No. 1, 109--131 (2019; Zbl 1438.42054) Full Text: DOI
Gogoladze, Larry; Tsagareishvili, Vakhtang On the constancy of signs and order of magnitude of Fourier-Haar coefficients. (English) Zbl 1398.42017 Georgian Math. J. 25, No. 3, 357-361 (2018). MSC: 42C10 PDFBibTeX XMLCite \textit{L. Gogoladze} and \textit{V. Tsagareishvili}, Georgian Math. J. 25, No. 3, 357--361 (2018; Zbl 1398.42017) Full Text: DOI
Gogoladze, Larry; Tsagareishvili, Vakhtang Summability of general Fourier series. (English) Zbl 1413.42053 Publ. Math. Debr. 91, No. 3-4, 391-402 (2017). MSC: 42C10 PDFBibTeX XMLCite \textit{L. Gogoladze} and \textit{V. Tsagareishvili}, Publ. Math. Debr. 91, No. 3--4, 391--402 (2017; Zbl 1413.42053) Full Text: DOI
Tsagareishvili, V. On special Fourier series. (English) Zbl 1399.42085 Anal. Math. 43, No. 4, 631-640 (2017). MSC: 42C10 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Anal. Math. 43, No. 4, 631--640 (2017; Zbl 1399.42085) Full Text: DOI
Tsagareishvili, Vakhtang On the absolute convergence of Fourier series with respect to general orthonormal systems. (English) Zbl 1376.42012 Georgian Math. J. 24, No. 3, 471-478 (2017). MSC: 42B05 42C10 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Georgian Math. J. 24, No. 3, 471--478 (2017; Zbl 1376.42012) Full Text: DOI
Tsagareishvili, V. Sh. On Fourier coefficients of functions with respect to general orthonormal systems. (English. Russian original) Zbl 1440.42010 Izv. Math. 81, No. 1, 179-198 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 1, 183-202 (2017). MSC: 42A16 42A20 42A65 42C10 PDFBibTeX XMLCite \textit{V. Sh. Tsagareishvili}, Izv. Math. 81, No. 1, 179--198 (2017; Zbl 1440.42010); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 1, 183--202 (2017) Full Text: DOI
Gogoladze, L. D.; Tsagareishvili, V. Sh. Convergence of Fourier series with respect to general orthonormal systems. (English. Russian original) Zbl 1353.42021 Math. Notes 99, No. 4, 603-607 (2016); translation from Mat. Zametki 99, No. 4, 618-622 (2016). Reviewer: Bujar Fejzullahu (Presevo) MSC: 42C05 42B05 PDFBibTeX XMLCite \textit{L. D. Gogoladze} and \textit{V. Sh. Tsagareishvili}, Math. Notes 99, No. 4, 603--607 (2016; Zbl 1353.42021); translation from Mat. Zametki 99, No. 4, 618--622 (2016) Full Text: DOI
Tsagareishvili, V. Sh. The Fourier coefficients of continuous functions with respect to certain orthonormal systems. (English. Russian original) Zbl 1361.42029 Math. Notes 99, No. 3, 432-443 (2016); translation from Mat. Zametki 99, No. 3, 428-440 (2016). Reviewer: Kiran Kumar Behera (Roorkee) MSC: 42C10 PDFBibTeX XMLCite \textit{V. Sh. Tsagareishvili}, Math. Notes 99, No. 3, 432--443 (2016; Zbl 1361.42029); translation from Mat. Zametki 99, No. 3, 428--440 (2016) Full Text: DOI
Gogoladze, L.; Tsagareishvili, V. Summability of general orthonormal Fourier series. (English) Zbl 1374.42056 Stud. Sci. Math. Hung. 52, No. 4, 511-536 (2015). Reviewer: Alexei Lukashov (Saratov) MSC: 42C10 42A24 PDFBibTeX XMLCite \textit{L. Gogoladze} and \textit{V. Tsagareishvili}, Stud. Sci. Math. Hung. 52, No. 4, 511--536 (2015; Zbl 1374.42056) Full Text: DOI
Gogoladze, L. D.; Tsagareishvili, V. Sh. On absolute convergence of multiple Fourier series. (English. Russian original) Zbl 1326.42033 Russ. Math. 59, No. 9, 9-17 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 9, 12-21 (2015). MSC: 42C10 PDFBibTeX XMLCite \textit{L. D. Gogoladze} and \textit{V. Sh. Tsagareishvili}, Russ. Math. 59, No. 9, 9--17 (2015; Zbl 1326.42033); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 9, 12--21 (2015) Full Text: DOI
Tsagareishvili, Vakhtang Information-preserving operators. (English) Zbl 1354.42048 Georgian Math. J. 21, No. 3, 343-349 (2014). MSC: 42C10 46B07 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Georgian Math. J. 21, No. 3, 343--349 (2014; Zbl 1354.42048) Full Text: DOI
Gogoladze, Larry; Tsagareishvili, Vakhtang Absolute convergence of multiple Fourier-Haar series. (English) Zbl 1288.42007 Georgian Math. J. 21, No. 1, 69-74 (2014). Reviewer: S. F. Lukomskii (Saratov) MSC: 42C10 46B07 PDFBibTeX XMLCite \textit{L. Gogoladze} and \textit{V. Tsagareishvili}, Georgian Math. J. 21, No. 1, 69--74 (2014; Zbl 1288.42007) Full Text: DOI
Tsagareishvili, V. On the operators preserving information. (English) Zbl 1325.42037 Appl. Math. Inform. Mech. 18, No. 2, 51-59 (2013). Reviewer: Rajendra G. Vyas (Vadodara) MSC: 42C10 46B07 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Appl. Math. Inform. Mech. 18, No. 2, 51--59 (2013; Zbl 1325.42037) Full Text: Link
Gogoladze, L.; Tsagareishvili, V. On properties of Fourier series in general orthonormal systems of functions of bounded variation. (English. Russian original) Zbl 1296.42015 Dokl. Math. 88, No. 3, 643-644 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 2, 129-130 (2013). MSC: 42C05 PDFBibTeX XMLCite \textit{L. Gogoladze} and \textit{V. Tsagareishvili}, Dokl. Math. 88, No. 3, 643--644 (2013; Zbl 1296.42015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 2, 129--130 (2013) Full Text: DOI
Gogoladze, L.; Tsagareishvili, V. Some classes of functions and Fourier coefficients with respect to general orthonormal systems. (English. Russian original) Zbl 1293.42029 Proc. Steklov Inst. Math. 280, 156-168 (2013); translation from Tr. Mat. Inst. Steklova 280, 162-174 (2013). Reviewer: Xhevat Z. Krasniqi (Prishtina) MSC: 42C10 42A16 42C25 PDFBibTeX XMLCite \textit{L. Gogoladze} and \textit{V. Tsagareishvili}, Proc. Steklov Inst. Math. 280, 156--168 (2013; Zbl 1293.42029); translation from Tr. Mat. Inst. Steklova 280, 162--174 (2013) Full Text: DOI
Gogoladze, L. D.; Tsagareishvili, V. Sh. The Fourier coefficients of functions with bounded variation. (English. Russian original) Zbl 1288.42006 Russ. Math. 57, No. 8, 10-19 (2013); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2013, No. 8, 14-23 (2013). Reviewer: Jeremy Wade (Pittsburg) MSC: 42C10 42A16 PDFBibTeX XMLCite \textit{L. D. Gogoladze} and \textit{V. Sh. Tsagareishvili}, Russ. Math. 57, No. 8, 10--19 (2013; Zbl 1288.42006); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2013, No. 8, 14--23 (2013) Full Text: DOI
Gogoladze, Leri Davidovich; Tsagareĭshvili, Vakhtang Shalvivich On the partial sums of the Fourier series of functions of bounded variation. (Russian. English summary) Zbl 1353.42024 Uch. Zap. Kazan. Univ., Ser. Fiz.-Mat. Nauki 154, No. 3, 121-128 (2012). MSC: 42C10 42A32 26B30 PDFBibTeX XMLCite \textit{L. D. Gogoladze} and \textit{V. S. Tsagareĭshvili}, Uch. Zap. Kazan. Univ., Ser. Fiz.-Mat. Nauki 154, No. 3, 121--128 (2012; Zbl 1353.42024) Full Text: MNR
Gogoladze, L.; Tsagareishvili, V. Fourier coefficients of continuous functions. (English. Russian original) Zbl 1301.42048 Math. Notes 91, No. 5, 645-656 (2012); translation from Math. Zametki 91, No. 5, 691-703 (2012). Reviewer: Stepan Sargsyan (Yerevan) MSC: 42C10 42A16 PDFBibTeX XMLCite \textit{L. Gogoladze} and \textit{V. Tsagareishvili}, Math. Notes 91, No. 5, 645--656 (2012; Zbl 1301.42048); translation from Math. Zametki 91, No. 5, 691--703 (2012) Full Text: DOI
Tsagareishvili, V. Fourier-Haar coefficients of continuous functions. (English) Zbl 1274.42071 Acta Math. Hung. 132, No. 1-2, 1-14 (2011). MSC: 42C10 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Acta Math. Hung. 132, No. 1--2, 1--14 (2011; Zbl 1274.42071) Full Text: DOI
Gogoladze, Larry; Tsagareishvili, Vakhtang Convergence almost everywhere of Fourier series of the functions of bounded variation. (English) Zbl 1265.42004 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 27, No. 2, 223-231 (2011). MSC: 42A16 42C05 PDFBibTeX XMLCite \textit{L. Gogoladze} and \textit{V. Tsagareishvili}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 27, No. 2, 223--231 (2011; Zbl 1265.42004)
Tsagareishvili, Vakhtang Function classes and convergence almost everywhere. (English) Zbl 1210.42044 Georgian Math. J. 18, No. 1, 177-189 (2011). MSC: 42C10 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Georgian Math. J. 18, No. 1, 177--189 (2011; Zbl 1210.42044) Full Text: DOI
Gogoladze, L. D.; Tsagareishvili, V. Sh. The absolute convergence of the Fourier-Haar series for two-dimensional functions. (English. Russian original) Zbl 1157.42308 Russ. Math. 52, No. 5, 9-19 (2008); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2008, No. 5, 14-25 (2008). MSC: 42C10 PDFBibTeX XMLCite \textit{L. D. Gogoladze} and \textit{V. Sh. Tsagareishvili}, Russ. Math. 52, No. 5, 9--19 (2008; Zbl 1157.42308); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2008, No. 5, 14--25 (2008) Full Text: DOI
Tsagareishvili, V. Absolute convergence of the Fourier series and the Fourier-Haar coefficients. (English) Zbl 1159.42313 Proc. A. Razmadze Math. Inst. 131, 79-99 (2003). MSC: 42C10 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Proc. A. Razmadze Math. Inst. 131, 79--99 (2003; Zbl 1159.42313)
Tsagareishvili, V. Estimates of Fourier coefficients. (English) Zbl 1057.42021 Georgian Math. J. 10, No. 2, 363-379 (2003). Reviewer: Boris I. Golubov (Dolgoprudny) MSC: 42C10 42A16 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Georgian Math. J. 10, No. 2, 363--379 (2003; Zbl 1057.42021) Full Text: EuDML
Tsagareishvili, V. On the Fourier coefficients for general orthonormal systems. (English) Zbl 1003.42015 Proc. A. Razmadze Math. Inst. 124, 131-150 (2000). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 42A16 PDFBibTeX XMLCite \textit{V. Tsagareishvili}, Proc. A. Razmadze Math. Inst. 124, 131--150 (2000; Zbl 1003.42015)
Tsagareishvili, V. Sh. On the Fourier coefficients of a function with finite variation. (Russian) Zbl 0474.42003 Soobshch. Akad. Nauk Gruz. SSR 101, 537-539 (1981). MSC: 42A16 42C05 PDFBibTeX XMLCite \textit{V. Sh. Tsagareishvili}, Soobshch. Akad. Nauk Gruz. SSR 101, 537--539 (1981; Zbl 0474.42003)