Shcherbakov, V. I. Comparison of V- and S-Dini tests. Counterexamples for symmetric Dini tests with respect to generalized Haar and Walsh systems. (English. Russian original) Zbl 1442.42066 Russ. Math. 63, No. 9, 63-83 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 9, 73-95 (2019). MSC: 42C10 42A20 PDF BibTeX XML Cite \textit{V. I. Shcherbakov}, Russ. Math. 63, No. 9, 63--83 (2019; Zbl 1442.42066); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 9, 73--95 (2019) Full Text: DOI
Poojary, Prasanna; Panackal, Harikrishnan; Bhatta, Vadiraja G. R. Algebraic construction of near-bent and APN functions. (English) Zbl 07137688 Adv. Appl. Clifford Algebr. 29, No. 5, Paper No. 93, 13 p. (2019); correction ibid. Paper No. 26, 2 p. (2020). MSC: 94D10 PDF BibTeX XML Cite \textit{P. Poojary} et al., Adv. Appl. Clifford Algebr. 29, No. 5, Paper No. 93, 13 p. (2019; Zbl 07137688) 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 PDF BibTeX XML Cite \textit{I. Blahota} et al., Georgian Math. J. 26, No. 3, 351--360 (2019; Zbl 1440.42127) Full Text: DOI
Farkov, Yuri A. Wavelet frames related to Walsh functions. (English) Zbl 1418.42047 Eur. J. Math. 5, No. 1, 250-267 (2019). Reviewer: Ilona Iglewska-Nowak (Szczecin) MSC: 42C15 65T60 PDF BibTeX XML Cite \textit{Y. A. Farkov}, Eur. J. Math. 5, No. 1, 250--267 (2019; Zbl 1418.42047) Full Text: DOI
Xie, Guangheng; Weisz, Ferenc; Yang, Dachun; Jiao, Yong New martingale inequalities and applications to Fourier analysis. (English) Zbl 1411.60062 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 182, 143-192 (2019). MSC: 60G42 60G46 42B25 42B35 46E30 PDF BibTeX XML Cite \textit{G. Xie} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 182, 143--192 (2019; Zbl 1411.60062) Full Text: DOI arXiv
Franco, C. A.; Collado, J. A novel discriminant approximation of periodic differential equations. (English) Zbl 1415.34035 J. Differ. Equations 266, No. 9, 5448-5487 (2019). Reviewer: Alexander O. Ignatyev (Donetsk) MSC: 34A30 37C60 34D20 PDF BibTeX XML Cite \textit{C. A. Franco} and \textit{J. Collado}, J. Differ. Equations 266, No. 9, 5448--5487 (2019; Zbl 1415.34035) Full Text: DOI
Gát, György; Goginava, Ushangi Norm convergence of logarithmic means on unbounded Vilenkin groups. (English) Zbl 1394.42019 Banach J. Math. Anal. 12, No. 2, 422-438 (2018). Reviewer: Giorgi Oniani (Kutaisi) MSC: 42C10 PDF BibTeX XML Cite \textit{G. Gát} and \textit{U. Goginava}, Banach J. Math. Anal. 12, No. 2, 422--438 (2018; Zbl 1394.42019) Full Text: DOI Euclid
Matsumoto, Makoto; Ohori, Ryuichi; Yoshiki, Takehito Approximation of quasi-Monte Carlo worst case error in weighted spaces of infinitely times smooth functions. (English) Zbl 1377.65001 J. Comput. Appl. Math. 330, 155-164 (2018). MSC: 65C05 PDF BibTeX XML Cite \textit{M. Matsumoto} et al., J. Comput. Appl. Math. 330, 155--164 (2018; Zbl 1377.65001) Full Text: DOI
Toledo, Rodolfo On the boundedness of the \(L^{1}\)-norm of Walsh-Fejér kernels. (English) Zbl 1393.42028 J. Math. Anal. Appl. 457, No. 1, 153-178 (2018). Reviewer: Bhikha Lila Ghodadra (Vadodara) MSC: 42C10 PDF BibTeX XML Cite \textit{R. Toledo}, J. Math. Anal. Appl. 457, No. 1, 153--178 (2018; Zbl 1393.42028) Full Text: DOI
Gogoladze, L.; Tsagareishvili, V. Convergence of the Fourier series of Lip 1 functions with respect to general orthonormal systems. (English) Zbl 07030467 Ukr. Math. J. 69, No. 4, 546-560 (2017) and Ukr. Mat. Zh. 69, No. 4, 466-477 (2017). MSC: 42A 42C PDF BibTeX XML Cite \textit{L. Gogoladze} and \textit{V. Tsagareishvili}, Ukr. Math. J. 69, No. 4, 546--560 (2017; Zbl 07030467) Full Text: DOI
Tsagareishvili, V. On special Fourier series. (English) Zbl 1399.42085 Anal. Math. 43, No. 4, 631-640 (2017). MSC: 42C10 PDF BibTeX XML Cite \textit{V. Tsagareishvili}, Anal. Math. 43, No. 4, 631--640 (2017; Zbl 1399.42085) Full Text: DOI
Gát, Gy.; Goginava, U. Norm convergence of double Fourier series on unbounded Vilenkin groups. (English) Zbl 1399.42075 Acta Math. Hung. 152, No. 1, 201-216 (2017). Reviewer: Alexei Lukashov (Saratov) MSC: 42C10 42B05 PDF BibTeX XML Cite \textit{Gy. Gát} and \textit{U. Goginava}, Acta Math. Hung. 152, No. 1, 201--216 (2017; Zbl 1399.42075) Full Text: DOI
Ghodadra, Bhikha Lila; Patadia, J. R. Wiener-Ingham type inequality for Vilenkin groups and its application to harmonic analysis. (English) Zbl 1374.43002 Period. Math. Hung. 72, No. 1, 50-63 (2016). Reviewer: György Gát (Nyíregyháza) MSC: 43A75 43A40 42C10 11L40 26D15 PDF BibTeX XML Cite \textit{B. L. Ghodadra} and \textit{J. R. Patadia}, Period. Math. Hung. 72, No. 1, 50--63 (2016; Zbl 1374.43002) 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 PDF BibTeX XML Cite \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
Astashkin, S. V.; Semenov, E. M. Lebesgue constants of the Walsh system and Banach limits. (English. Russian original) Zbl 1354.42047 Sib. Math. J. 57, No. 3, 398-410 (2016); translation from Sib. Mat. Zh. 57, No. 3, 512-526 (2016). Reviewer: Oscar Blasco (Valencia) MSC: 42C10 PDF BibTeX XML Cite \textit{S. V. Astashkin} and \textit{E. M. Semenov}, Sib. Math. J. 57, No. 3, 398--410 (2016; Zbl 1354.42047); translation from Sib. Mat. Zh. 57, No. 3, 512--526 (2016) Full Text: DOI
Rosenfeld, Vladimir R. The fractal nature of folds and the Walsh copolymers. (English) Zbl 1351.92058 J. Math. Chem. 54, No. 2, 559-571 (2016). MSC: 92E10 28A80 PDF BibTeX XML Cite \textit{V. R. Rosenfeld}, J. Math. Chem. 54, No. 2, 559--571 (2016; Zbl 1351.92058) Full Text: DOI
Suzuki, Kosuke; Yoshiki, Takehito Formulas for the Walsh coefficients of smooth functions and their application to bounds on the Walsh coefficients. (English) Zbl 1338.42039 J. Approx. Theory 205, 1-24 (2016). Reviewer: Jeremy Wade (Eugene) MSC: 42C10 PDF BibTeX XML Cite \textit{K. Suzuki} and \textit{T. Yoshiki}, J. Approx. Theory 205, 1--24 (2016; Zbl 1338.42039) Full Text: DOI arXiv
Boche, Holger; Pohl, Volker System approximations and generalized measurements in modern sampling theory. (English) Zbl 1358.94048 Pfander, Götz E. (ed.), Sampling theory, a renaissance. Compressive sensing and other developments. Cham: Birkhäuser/Springer (ISBN 978-3-319-19748-7/hbk; 978-3-319-19749-4/ebook). Applied and Numerical Harmonic Analysis, 269-305 (2015). MSC: 94A20 94A12 PDF BibTeX XML Cite \textit{H. Boche} and \textit{V. Pohl}, in: Sampling theory, a renaissance. Compressive sensing and other developments. Cham: Birkhäuser/Springer. 269--305 (2015; Zbl 1358.94048) Full Text: DOI arXiv
Malykhin, Yu. V.; Telyakovskii, S. A.; Kholshchevnikova, N. N. Integrability of the sum of absolute values of blocks of the Fourier-Walsh series for functions of bounded variation. (English. Russian original) Zbl 1362.42057 Proc. Steklov Inst. Math. 290, 306-317 (2015); translation from Tr. Mat. Inst. Steklova 290, 323-334 (2015). Reviewer: Sergey S. Volosivets (Saratov) MSC: 42C10 40F99 PDF BibTeX XML Cite \textit{Yu. V. Malykhin} et al., Proc. Steklov Inst. Math. 290, 306--317 (2015; Zbl 1362.42057); translation from Tr. Mat. Inst. Steklova 290, 323--334 (2015) Full Text: DOI
Barg, Alexander; Skriganov, Maxim Association schemes on general measure spaces and zero-dimensional abelian groups. (English) Zbl 1318.05091 Adv. Math. 281, 142-247 (2015). MSC: 05E30 PDF BibTeX XML Cite \textit{A. Barg} and \textit{M. Skriganov}, Adv. Math. 281, 142--247 (2015; Zbl 1318.05091) Full Text: DOI arXiv
Sorger, U.; Suchanecki, Z. Nonlocalization properties of time operators transformations. (English) Zbl 1328.81268 Int. J. Theor. Phys. 54, No. 3, 787-800 (2015). MSC: 81V70 81S30 47D03 PDF BibTeX XML Cite \textit{U. Sorger} and \textit{Z. Suchanecki}, Int. J. Theor. Phys. 54, No. 3, 787--800 (2015; Zbl 1328.81268) Full Text: DOI
Larcher, Gerhard; Pillichshammer, Friedrich Metrical lower bounds on the discrepancy of digital Kronecker-sequences. (English) Zbl 1385.11050 J. Number Theory 135, 262-283 (2014). MSC: 11K38 11K31 11K06 PDF BibTeX XML Cite \textit{G. Larcher} and \textit{F. Pillichshammer}, J. Number Theory 135, 262--283 (2014; Zbl 1385.11050) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{G. Tephnadze}, J. Contemp. Math. Anal., Armen. Acad. Sci. 49, No. 1, 23--32 (2014; Zbl 1345.43002) Full Text: DOI arXiv
Klotz, Andreas The optimal dyadic derivative. (English) Zbl 1340.39032 Anal. Math. 40, No. 4, 287-299 (2014). Reviewer: Bolis Basit (Clayton) MSC: 39A70 PDF BibTeX XML Cite \textit{A. Klotz}, Anal. Math. 40, No. 4, 287--299 (2014; Zbl 1340.39032) Full Text: DOI arXiv
Plotnikov, M. G. Multiple Walsh series and Zygmund sets. (English. Russian original) Zbl 1319.42026 Math. Notes 95, No. 5, 686-696 (2014); translation from Mat. Zametki 95, No. 5, 750-762 (2014). Reviewer: Enji Sato (Yamagata) MSC: 42C10 42B05 42A63 42A16 PDF BibTeX XML Cite \textit{M. G. Plotnikov}, Math. Notes 95, No. 5, 686--696 (2014; Zbl 1319.42026); translation from Mat. Zametki 95, No. 5, 750--762 (2014) Full Text: DOI
Dutkay, Dorin Ervin; Picioroaga, Gabriel Generalized Walsh bases and applications. (English) Zbl 1309.42038 Acta Appl. Math. 133, No. 1, 1-18 (2014). Reviewer: Manfred Tasche (Rostock) MSC: 42C10 94A60 PDF BibTeX XML Cite \textit{D. E. Dutkay} and \textit{G. Picioroaga}, Acta Appl. Math. 133, No. 1, 1--18 (2014; Zbl 1309.42038) Full Text: DOI arXiv
Dick, Josef; Gnewuch, Michael Infinite-dimensional integration in weighted Hilbert spaces: anchored decompositions, optimal deterministic algorithms, and higher-order convergence. (English) Zbl 1312.65002 Found. Comput. Math. 14, No. 5, 1027-1077 (2014). Reviewer: T. C. Mohan (Chennai) MSC: 65C05 11K38 46E22 PDF BibTeX XML Cite \textit{J. Dick} and \textit{M. Gnewuch}, Found. Comput. Math. 14, No. 5, 1027--1077 (2014; Zbl 1312.65002) 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 PDF BibTeX XML Cite \textit{I. Blahota} and \textit{G. Tephnadze}, Anal. Math. 40, No. 3, 161--174 (2014; Zbl 1313.42083) Full Text: DOI arXiv
Gát, György; Goginava, Ushangi Triangular Fejér summability of two-dimensional Walsh-Fourier series. (English) Zbl 1313.42028 Anal. Math. 40, No. 2, 83-104 (2014). MSC: 42A38 PDF BibTeX XML Cite \textit{G. Gát} and \textit{U. Goginava}, Anal. Math. 40, No. 2, 83--104 (2014; Zbl 1313.42028) Full Text: DOI
Goda, Takashi Construction of scrambled polynomial lattice rules over \(\mathbb{F}_{2}\) with small mean square weighted \(\mathcal{L}_{2}\) discrepancy. (English) Zbl 1296.65005 BIT 54, No. 2, 401-423 (2014). MSC: 65C05 65D30 65D32 PDF BibTeX XML Cite \textit{T. Goda}, BIT 54, No. 2, 401--423 (2014; Zbl 1296.65005) Full Text: DOI arXiv
Boche, Holger; Farrell, Brendan Strong divergence of reconstruction procedures for the Paley-Wiener space \(\mathcal{PW}_\pi^1\) and the Hardy space \(\mathcal{H}^1\). (English) Zbl 1294.94012 J. Approx. Theory 183, 98-117 (2014). MSC: 94A20 41A30 PDF BibTeX XML Cite \textit{H. Boche} and \textit{B. Farrell}, J. Approx. Theory 183, 98--117 (2014; Zbl 1294.94012) 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 PDF BibTeX XML Cite \textit{G. Tephnadze}, Acta Math. Hung. 142, No. 1, 244--259 (2014; Zbl 1313.42086) Full Text: DOI arXiv
Dick, Josef Discrepancy bounds for infinite-dimensional order two digital sequences over \(\mathbb F_2\). (English) Zbl 1286.11120 J. Number Theory 136, 204-232 (2014). Reviewer: Yukio Ohkubo (Kagoshima) MSC: 11K38 11K06 11K45 PDF BibTeX XML Cite \textit{J. Dick}, J. Number Theory 136, 204--232 (2014; Zbl 1286.11120) Full Text: DOI
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 PDF BibTeX XML Cite \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
Powell, C.; Wade, W. R. Partial ordering that generates filtered Walsh series. (English) Zbl 1299.42096 Acta Math. Hung. 140, No. 1-2, 162-168 (2013). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 42C10 43A75 PDF BibTeX XML Cite \textit{C. Powell} and \textit{W. R. Wade}, Acta Math. Hung. 140, No. 1--2, 162--168 (2013; Zbl 1299.42096) 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 PDF BibTeX XML Cite \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
Markhasin, Lev Quasi-Monte Carlo methods for integration of functions with dominating mixed smoothness in arbitrary dimension. (English) Zbl 1286.65005 J. Complexity 29, No. 5, 370-388 (2013). MSC: 65C05 11K38 65D32 PDF BibTeX XML Cite \textit{L. Markhasin}, J. Complexity 29, No. 5, 370--388 (2013; Zbl 1286.65005) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \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
Skriganov, M. M. On mean values of the \(L_q\)-discrepancies of point distributions. (English) Zbl 1294.11130 St. Petersbg. Math. J. 24, No. 6, 991-1012 (2013); translation from Algebra Anal. 24, No. 6, 196-225 (2012). Reviewer: Florian Pausinger (Klosterneuburg) MSC: 11K38 PDF BibTeX XML Cite \textit{M. M. Skriganov}, St. Petersbg. Math. J. 24, No. 6, 991--1012 (2013; Zbl 1294.11130); translation from Algebra Anal. 24, No. 6, 196--225 (2012) Full Text: DOI
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 PDF BibTeX XML Cite \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
Skriganov, M. M. The Khinchin inequality and Chen’s theorem. (English. Russian original) Zbl 1278.11077 St. Petersbg. Math. J. 23, No. 4, 761-778 (2012); translation from Algebra Anal. 23, No. 4, 179-204 (2011). MSC: 11K36 11K38 PDF BibTeX XML Cite \textit{M. M. Skriganov}, St. Petersbg. Math. J. 23, No. 4, 761--778 (2012; Zbl 1278.11077); translation from Algebra Anal. 23, No. 4, 179--204 (2011) Full Text: DOI
Leobacher, Gunther Fast orthogonal transforms and generation of Brownian paths. (English) Zbl 1256.65009 J. Complexity 28, No. 2, 278-302 (2012). Reviewer: R. E. Maiboroda (Kyïv) MSC: 65C60 65C05 62P05 65C35 60J65 65T50 91G60 PDF BibTeX XML Cite \textit{G. Leobacher}, J. Complexity 28, No. 2, 278--302 (2012; Zbl 1256.65009) Full Text: DOI
Ghodadra, Bhikha Lila On the coefficients of Vilenkin-Fourier series with small gaps. (English) Zbl 1229.42031 Kyoto J. Math. 51, No. 4, 891-900 (2011). MSC: 42C10 26D15 43A40 43A75 PDF BibTeX XML Cite \textit{B. L. Ghodadra}, Kyoto J. Math. 51, No. 4, 891--900 (2011; Zbl 1229.42031) Full Text: DOI
Kadem, Abdelouhab; Baleanu, Dumitru Analytical method based on Walsh function combined with orthogonal polynomial for fractional transport equation. (English) Zbl 1221.45008 Commun. Nonlinear Sci. Numer. Simul. 15, No. 3, 491-501 (2010). MSC: 45J05 26A33 42C10 82D75 PDF BibTeX XML Cite \textit{A. Kadem} and \textit{D. Baleanu}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 3, 491--501 (2010; Zbl 1221.45008) Full Text: DOI
Kadem, Abdelouahab; Kilicman, Adem Note on the solution of transport equation by Tau method and Walsh functions. (English) Zbl 1221.35021 Abstr. Appl. Anal. 2010, Article ID 704168, 13 p. (2010). MSC: 35A25 35F05 PDF BibTeX XML Cite \textit{A. Kadem} and \textit{A. Kilicman}, Abstr. Appl. Anal. 2010, Article ID 704168, 13 p. (2010; Zbl 1221.35021) Full Text: DOI EuDML
Dick, Josef The decay of the Walsh coefficients of smooth functions. (English) Zbl 1183.42027 Bull. Aust. Math. Soc. 80, No. 3, 430-453 (2009). Reviewer: István Mező (Debrecen) MSC: 42C10 PDF BibTeX XML Cite \textit{J. Dick}, Bull. Aust. Math. Soc. 80, No. 3, 430--453 (2009; Zbl 1183.42027) Full Text: DOI arXiv
Mori, Takakazu; Yasugi, Mariko; Tsujii, Yoshiki Integral of Fine computable functions and Walsh Fourier series. (English) Zbl 1262.03088 Dilhage, R. (ed.) et al., Proceedings of the fourth international conference on computability and complexity in analysis (CCA 2007), Siena, Italy, June 16–18, 2007. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 202, 279-293 (2008). MSC: 03D78 28A25 42C10 PDF BibTeX XML Cite \textit{T. Mori} et al., Electron. Notes Theor. Comput. Sci. 202, 279--293 (2008; Zbl 1262.03088) Full Text: DOI
Mori, Takakazu; Yasugi, Mariko; Tsujii, Yoshiki Integral of two-dimensional Fine-computable functions. (English) Zbl 1262.03143 Brattka, V. (ed.) et al., Proceedings of the fifth international conference on computability and complexity in analysis (CCA 2008), Hagen, Germany, August 21–24, 2008. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 221, 141-152 (2008). MSC: 03F60 03D78 26B15 PDF BibTeX XML Cite \textit{T. Mori} et al., Electron. Notes Theor. Comput. Sci. 221, 141--152 (2008; Zbl 1262.03143) Full Text: DOI
Daly, J.; Fridli, S. Hörmander multipliers on two-dimensional dyadic Hardy spaces. (English) Zbl 1153.42006 J. Math. Anal. Appl. 348, No. 2, 977-989 (2008). Reviewer: Yasuo Komori (Numazu) MSC: 42B20 42-02 PDF BibTeX XML Cite \textit{J. Daly} and \textit{S. Fridli}, J. Math. Anal. Appl. 348, No. 2, 977--989 (2008; Zbl 1153.42006) Full Text: DOI
Mori, Takakazu; Yasugi, Mariko; Tsujii, Yoshiki Effective Fine-convergence of Walsh-Fourier series. (English) Zbl 1154.03024 Math. Log. Q. 54, No. 5, 519-534 (2008). MSC: 03D45 03F60 42C10 26A42 PDF BibTeX XML Cite \textit{T. Mori} et al., Math. Log. Q. 54, No. 5, 519--534 (2008; Zbl 1154.03024) Full Text: DOI
Simon, Péter; Weisz, Ferenc Weak inequalities for Cesàro and Riesz summability of Walsh-Fourier series. (English) Zbl 1143.42032 J. Approx. Theory 151, No. 1, 1-19 (2008). MSC: 42C10 60G42 60G46 46B42 46E40 PDF BibTeX XML Cite \textit{P. Simon} and \textit{F. Weisz}, J. Approx. Theory 151, No. 1, 1--19 (2008; Zbl 1143.42032) Full Text: DOI
Dick, Josef; Pillichshammer, Friedrich Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules. (English) Zbl 1130.65005 J. Complexity 23, No. 4-6, 436-453 (2007). Reviewer: Manfred Tasche (Rostock) MSC: 65C05 65D32 41A55 41A63 PDF BibTeX XML Cite \textit{J. Dick} and \textit{F. Pillichshammer}, J. Complexity 23, No. 4--6, 436--453 (2007; Zbl 1130.65005) Full Text: DOI
Plotnikov, M. G. On uniqueness sets for multiple Walsh series. (English. Russian original) Zbl 1183.42006 Math. Notes 81, No. 2, 234-246 (2007); translation from Mat. Zametki 81, No. 2, 265-279 (2006). MSC: 42A63 PDF BibTeX XML Cite \textit{M. G. Plotnikov}, Math. Notes 81, No. 2, 234--246 (2007; Zbl 1183.42006); translation from Mat. Zametki 81, No. 2, 265--279 (2006) Full Text: DOI
Skriganov, M. M. Harmonic analysis on totally disconnected groups and irregularities of point distributions. (English) Zbl 1115.11047 J. Reine Angew. Math. 600, 25-49 (2006). Reviewer: Robert F. Tichy (Graz) MSC: 11K38 43A25 PDF BibTeX XML Cite \textit{M. M. Skriganov}, J. Reine Angew. Math. 600, 25--49 (2006; Zbl 1115.11047) Full Text: DOI
Bespalov, M. S. On Fine’s results for Lebesgue constants of the Walsh system. (English) Zbl 1130.42028 J. Math. Sci., New York 126, No. 5, 1407-1418 (2005). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 PDF BibTeX XML Cite \textit{M. S. Bespalov}, J. Math. Sci., New York 126, No. 5, 1407--1418 (2005; Zbl 1130.42028) Full Text: DOI
Sloss, B. G.; Blyth, W. F. A Walsh function method for a non-linear Volterra integral equation. (English) Zbl 1023.65141 J. Franklin Inst. 340, No. 1, 25-41 (2003). Reviewer: Søren Christiansen (Lyngby) MSC: 65R20 45G10 PDF BibTeX XML Cite \textit{B. G. Sloss} and \textit{W. F. Blyth}, J. Franklin Inst. 340, No. 1, 25--41 (2003; Zbl 1023.65141) Full Text: DOI
Gát, G. On the divergence of the two-dimensional dyadic difference of dyadic integrals. (English) Zbl 0999.42016 J. Approximation Theory 116, No. 1, 1-27 (2002). MSC: 42C10 PDF BibTeX XML Cite \textit{G. Gát}, J. Approx. Theory 116, No. 1, 1--27 (2002; Zbl 0999.42016) Full Text: DOI
Mori, Takakazu On the computability of Walsh functions. (English) Zbl 1042.68048 Theor. Comput. Sci. 284, No. 2, 419-436 (2002). MSC: 68Q05 PDF BibTeX XML Cite \textit{T. Mori}, Theor. Comput. Sci. 284, No. 2, 419--436 (2002; Zbl 1042.68048) Full Text: DOI
Weisz, Ferenc The maximal \((C,\alpha,\beta)\) operator of two-parameter Walsh-Fourier series. (English) Zbl 0977.42011 J. Fourier Anal. Appl. 6, No. 4, 389-401 (2000). Reviewer: Ferenc Móricz (Szeged) MSC: 42C10 42B30 43A75 60G42 PDF BibTeX XML Cite \textit{F. Weisz}, J. Fourier Anal. Appl. 6, No. 4, 389--401 (2000; Zbl 0977.42011) Full Text: DOI EuDML
Abusev, R. A.; Kolegova, N. V. On quadratic errors of statistical estimators of distributions of sufficient statistics of bivariate exponential distributions. (English. Russian original) Zbl 1276.62018 J. Math. Sci., New York 126, No. 1, 1017-1023 (2005); translation from Statisticheskie Metody Otsenivaniya i Proverki Gipotez, Perm 1999, 161-170 (1999). MSC: 62F10 62H12 62H30 62G35 PDF BibTeX XML Cite \textit{R. A. Abusev} and \textit{N. V. Kolegova}, J. Math. Sci., New York 126, No. 1, 1017--1023 (1999; Zbl 1276.62018); translation from Statisticheskie Metody Otsenivaniya i Proverki Gipotez, Perm 1999, 161--170 (1999) Full Text: DOI
Sendov, Bl. Adaptive multiresolution analysis on the dyadic topological group. (English) Zbl 0976.42025 J. Approximation Theory 96, No. 2, 258-280 (1999). Reviewer: Khalifa Trimèche (Tunis) MSC: 42C40 43A32 42C10 PDF BibTeX XML Cite \textit{Bl. Sendov}, J. Approx. Theory 96, No. 2, 258--280 (1999; Zbl 0976.42025) Full Text: DOI
Sloss, B. G.; Blyth, W. F. The computational efficiency of a spectral Walsh function method. (English) Zbl 0995.65105 J. Franklin Inst. 335B, No. 6, 1157-1170 (1998). MSC: 65M70 65Y20 35L45 PDF BibTeX XML Cite \textit{B. G. Sloss} and \textit{W. F. Blyth}, J. Franklin Inst. 335B, No. 6, 1157--1170 (1998; Zbl 0995.65105) Full Text: DOI
Sloss, B. G.; Blyth, W. F. A variational method using Walsh functions. (English) Zbl 0939.42017 Nonlinear Anal., Theory Methods Appl. 32, No. 4, 549-561 (1998). Reviewer: W.R.Wade (Knoxville) MSC: 42C10 65N30 49J10 65K10 PDF BibTeX XML Cite \textit{B. G. Sloss} and \textit{W. F. Blyth}, Nonlinear Anal., Theory Methods Appl. 32, No. 4, 549--561 (1998; Zbl 0939.42017) Full Text: DOI
Gát, G. On the two-dimensional pointwise dyadic calculus. (English) Zbl 0897.42017 J. Approximation Theory 92, No. 2, 191-215 (1998). Reviewer: W.R.Wade (Knoxville) MSC: 42C10 PDF BibTeX XML Cite \textit{G. Gát}, J. Approx. Theory 92, No. 2, 191--215 (1998; Zbl 0897.42017) Full Text: DOI
Chen, Chang-Pao; Wu, Ching-Tang Double Walsh series with coefficients of bounded variation of higher order. (English) Zbl 0895.42010 Trans. Am. Math. Soc. 350, No. 1, 395-417 (1998). Reviewer: W.R.Wade (Knoxville) MSC: 42C10 PDF BibTeX XML Cite \textit{C.-P. Chen} and \textit{C.-T. Wu}, Trans. Am. Math. Soc. 350, No. 1, 395--417 (1998; Zbl 0895.42010) Full Text: DOI
Zheng, Shijun Riesz type kernels over the ring of integers of a local field. (English) Zbl 0883.43011 J. Math. Anal. Appl. 208, No. 2, 528-552 (1997). Reviewer: Su Weiyi (Nanjing) MSC: 43A70 PDF BibTeX XML Cite \textit{S. Zheng}, J. Math. Anal. Appl. 208, No. 2, 528--552 (1997; Zbl 0883.43011) Full Text: DOI
Weisz, F. Cesàro summability of one- and two-dimensional Walsh-Fourier series. (English) Zbl 0866.42020 Anal. Math. 22, No. 3, 229-242 (1996). Reviewer: W.R.Wade (Knoxville) MSC: 42C10 42B25 42B30 PDF BibTeX XML Cite \textit{F. Weisz}, Anal. Math. 22, No. 3, 229--242 (1996; Zbl 0866.42020) Full Text: DOI
Chen, Chang-Pao Integrability of multiple Walsh series and Parseval’s formula. (English) Zbl 0865.42025 Anal. Math. 22, No. 2, 99-112 (1996). Reviewer: F.Móricz (Szeged) MSC: 42C10 PDF BibTeX XML Cite \textit{C.-P. Chen}, Anal. Math. 22, No. 2, 99--112 (1996; Zbl 0865.42025) Full Text: DOI
Weisz, F. The boundedness of the two-parameter Sunouchi operators on Hardy spaces. (English) Zbl 0858.42017 Acta Math. Hung. 72, No. 1-2, 121-152 (1996). Reviewer: F.Móricz (Szeged) MSC: 42C10 60G46 46E30 PDF BibTeX XML Cite \textit{F. Weisz}, Acta Math. Hung. 72, No. 1--2, 121--152 (1996; Zbl 0858.42017) Full Text: DOI
Weisz, Ferenc Cesàro summability of two-dimensional Walsh-Fourier series. (English) Zbl 0857.42016 Trans. Am. Math. Soc. 348, No. 6, 2169-2181 (1996). Reviewer: W.R.Wade (Knoxville) MSC: 42C10 43A75 60G42 PDF BibTeX XML Cite \textit{F. Weisz}, Trans. Am. Math. Soc. 348, No. 6, 2169--2181 (1996; Zbl 0857.42016) Full Text: DOI
Hwang, Hsien-Kuei Asymptotic expansion for the Lebesgue constants of the Walsh system. (English) Zbl 0849.42016 J. Comput. Appl. Math. 71, No. 2, 237-243 (1996). MSC: 42C10 PDF BibTeX XML Cite \textit{H.-K. Hwang}, J. Comput. Appl. Math. 71, No. 2, 237--243 (1996; Zbl 0849.42016) Full Text: DOI
Sloss, B. G.; Blyth, W. F. A priori error estimates for Corrington’s Walsh function method. (English) Zbl 0823.34014 J. Franklin Inst. 331B, No. 3, 273-283 (1994). Reviewer: L.Berg (Rostock) MSC: 34A45 65J99 65L70 41A30 PDF BibTeX XML Cite \textit{B. G. Sloss} and \textit{W. F. Blyth}, J. Franklin Inst. 331B, No. 3, 273--283 (1994; Zbl 0823.34014) Full Text: DOI
Chen, Chang-Pao Integrability and \(L\)-convergence of multiple trigonometric series. (English) Zbl 0795.42007 Bull. Aust. Math. Soc. 49, No. 2, 333-339 (1994). MSC: 42B05 42C10 PDF BibTeX XML Cite \textit{C.-P. Chen}, Bull. Aust. Math. Soc. 49, No. 2, 333--339 (1994; Zbl 0795.42007) Full Text: DOI
Fridli, S.; Wade, W. R. Rate of convergence and dyadic differentiability of Walsh series. (English) Zbl 0801.42022 J. Anal. Math. 62, 287-305 (1994). Reviewer: C.Karanikas (Thessaloniki) MSC: 42C10 PDF BibTeX XML Cite \textit{S. Fridli} and \textit{W. R. Wade}, J. Anal. Math. 62, 287--305 (1994; Zbl 0801.42022) Full Text: DOI
Móricz, Ferenc \(L^ 1\)-convergence of double cosine- and Walsh-Fourier series. (English) Zbl 0851.42014 J. Anal. Math. 62, 115-130 (1994). Reviewer: B.Ram (Rohtak) MSC: 42B05 42C10 PDF BibTeX XML Cite \textit{F. Móricz}, J. Anal. Math. 62, 115--130 (1994; Zbl 0851.42014) Full Text: DOI
Gát, G. Investigations of certain operators with respect to the Vilenkin system. (English) Zbl 0805.42019 Acta Math. Hung. 61, No. 1-2, 131-149 (1993). Reviewer: W.R.Wade (Knoxville) MSC: 42C10 PDF BibTeX XML Cite \textit{G. Gát}, Acta Math. Hung. 61, No. 1--2, 131--149 (1993; Zbl 0805.42019) Full Text: DOI
Yoneda, K. Uniqueness theorems for Walsh series under a strong condition. (English) Zbl 0811.42007 Acta Math. Hung. 61, No. 1-2, 1-15 (1993). Reviewer: W.R.Wade (Knoxville) MSC: 42C10 42C25 PDF BibTeX XML Cite \textit{K. Yoneda}, Acta Math. Hung. 61, No. 1--2, 1--15 (1993; Zbl 0811.42007) Full Text: DOI
Frick, P. A.; Stech, D. J. Epsilon-Ritz method for solving optimal control problems: Useful parallel solution method. (English) Zbl 0792.49001 J. Optimization Theory Appl. 79, No. 1, 31-58 (1993). MSC: 49J15 49M37 90C30 65Y05 PDF BibTeX XML Cite \textit{P. A. Frick} and \textit{D. J. Stech}, J. Optim. Theory Appl. 79, No. 1, 31--58 (1993; Zbl 0792.49001) Full Text: DOI
Sloss, Bruce G.; Blyth, William F. Walsh functions and uniform distribution mod 1. (English) Zbl 0799.11020 Tôhoku Math. J., II. Ser. 45, No. 4, 555-563 (1993). Reviewer: P.Hellekalek (Salzburg) MSC: 11K06 42C10 PDF BibTeX XML Cite \textit{B. G. Sloss} and \textit{W. F. Blyth}, Tohoku Math. J. (2) 45, No. 4, 555--563 (1993; Zbl 0799.11020) Full Text: DOI
Gulichev, N. V. On estimates of the norms of Fourier-Walsh sums of bounded functions. (Russian. English summary) Zbl 0787.42013 Anal. Math. 19, No. 2, 101-111 (1993). MSC: 42C10 PDF BibTeX XML Cite \textit{N. V. Gulichev}, Anal. Math. 19, No. 2, 101--111 (1993; Zbl 0787.42013) Full Text: DOI
Powell, C. H.; Wade, W. R. Paley sets and term by term dyadic differentiation of Walsh series. (English) Zbl 0784.42017 Acta Math. Hung. 62, No. 1-2, 89-96 (1993). Reviewer: F.Móricz (Szeged) MSC: 42C10 43A70 PDF BibTeX XML Cite \textit{C. H. Powell} and \textit{W. R. Wade}, Acta Math. Hung. 62, No. 1--2, 89--96 (1993; Zbl 0784.42017) Full Text: DOI
Móricz, Ferenc Rate of convergence for double Walsh-Fourier series of functions of bounded fluctuation. (English) Zbl 0778.42019 Arch. Math. 60, No. 3, 256-265 (1993). Reviewer: F.Móricz (Szeged) MSC: 42C10 41A25 PDF BibTeX XML Cite \textit{F. Móricz}, Arch. Math. 60, No. 3, 256--265 (1993; Zbl 0778.42019) Full Text: DOI
Sloss, B. G.; Blyth, W. F. A pseudospectral Walsh function method. (English) Zbl 0789.65081 J. Franklin Inst. 329, No. 4, 667-678 (1992). MSC: 65M70 35L05 35L45 PDF BibTeX XML Cite \textit{B. G. Sloss} and \textit{W. F. Blyth}, J. Franklin Inst. 329, No. 4, 667--678 (1992; Zbl 0789.65081) Full Text: DOI
Oehring, Charles Asymptotics of rearranged trigonometric and Walsh-Fourier coefficients of smooth functions. (English) Zbl 0754.42014 J. Math. Anal. Appl. 164, No. 2, 422-446 (1992). Reviewer: F.Móricz (Szeged) MSC: 42C10 42A16 42A20 PDF BibTeX XML Cite \textit{C. Oehring}, J. Math. Anal. Appl. 164, No. 2, 422--446 (1992; Zbl 0754.42014) Full Text: DOI
Móricz, F. On \(L^ 1\)-convergence of Walsh-Fourier series. II. (English) Zbl 0746.42017 Acta Math. Hung. 58, No. 1-2, 203-210 (1991). Reviewer: F.Móricz (Szeged) MSC: 42C10 PDF BibTeX XML Cite \textit{F. Móricz}, Acta Math. Hung. 58, No. 1--2, 203--210 (1991; Zbl 0746.42017) Full Text: DOI
Móricz, F.; Schipp, F. On the integrability and \(L^ 1\)-convergence of double Walsh series. (English) Zbl 0746.42016 Acta Math. Hung. 57, No. 3-4, 371-380 (1991). Reviewer: F.Móricz (Szeged) MSC: 42C10 PDF BibTeX XML Cite \textit{F. Móricz} and \textit{F. Schipp}, Acta Math. Hung. 57, No. 3--4, 371--380 (1991; Zbl 0746.42016) Full Text: DOI
Pavlov, A. P. Absolute summability of Fourier series of functions in the class \(\text{Lip}(\alpha,p)\). (English. Russian original) Zbl 0749.42006 Math. Notes 50, No. 1, 707-713 (1991); translation from Mat. Zametki 50, No. 1, 74-83 (1991). Reviewer: T.I.Akhobadze (Tbilisi) MSC: 42A20 42C10 PDF BibTeX XML Cite \textit{A. P. Pavlov}, Math. Notes 50, No. 1, 707--713 (1991; Zbl 0749.42006); translation from Mat. Zametki 50, No. 1, 74--83 (1991) Full Text: DOI
Schipp, F. On boundedly divergent Walsh-Fourier series. (English) Zbl 0729.42017 Acta Math. Hung. 56, No. 3-4, 361-367 (1990). Reviewer: W.R.Wade (Knoxville) MSC: 42C10 PDF BibTeX XML Cite \textit{F. Schipp}, Acta Math. Hung. 56, No. 3--4, 361--367 (1990; Zbl 0729.42017) Full Text: DOI
Móricz, Ferenc; Schipp, Ferenc On the integrability and \(L^ 1\)-convergence of Walsh series with coefficients of bounded variation. (English) Zbl 0693.42023 J. Math. Anal. Appl. 146, No. 1, 99-109 (1990). Reviewer: F.Móricz MSC: 42C10 PDF BibTeX XML Cite \textit{F. Móricz} and \textit{F. Schipp}, J. Math. Anal. Appl. 146, No. 1, 99--109 (1990; Zbl 0693.42023) Full Text: DOI
Móricz, Ferenc On \(L^ 1\)-convergence of Walsh-Fourier series. I. (English) Zbl 0683.42007 Rend. Circ. Mat. Palermo, II. Ser. 38, No. 3, 411-418 (1989). MSC: 42A20 42C10 PDF BibTeX XML Cite \textit{F. Móricz}, Rend. Circ. Mat. Palermo (2) 38, No. 3, 411--418 (1989; Zbl 0683.42007) Full Text: DOI
Ahmad, Z. U.; Mursaleen An application of Banach limits. (English) Zbl 0652.40009 Proc. Am. Math. Soc. 103, No. 1, 244-246 (1988). Reviewer: I.Sukla MSC: 40C05 42C10 PDF BibTeX XML Cite \textit{Z. U. Ahmad} and \textit{Mursaleen}, Proc. Am. Math. Soc. 103, No. 1, 244--246 (1988; Zbl 0652.40009) Full Text: DOI
Harris, David C. Almost everywhere divergence of multiple Walsh-Fourier series. (English) Zbl 0649.42016 Proc. Am. Math. Soc. 101, 637-643 (1987). Reviewer: J.Matušu MSC: 42C10 43A50 PDF BibTeX XML Cite \textit{D. C. Harris}, Proc. Am. Math. Soc. 101, 637--643 (1987; Zbl 0649.42016) Full Text: DOI
Getsadze, R. D. On the convergence and divergence of multiple Fourier series with respect to the Walsh-Paley system in the spaces C and L. (English) Zbl 0649.42007 Anal. Math. 13, No. 1, 29-39 (1987). Reviewer: S.Sharma MSC: 42A20 42B05 42C10 PDF BibTeX XML Cite \textit{R. D. Getsadze}, Anal. Math. 13, No. 1, 29--39 (1987; Zbl 0649.42007) Full Text: DOI
Simon, P. Strong convergence of certain means with respect to the Walsh-Fourier series. (English) Zbl 0643.42020 Acta Math. Hung. 49, 425-431 (1987). Reviewer: P.Simon MSC: 42C10 PDF BibTeX XML Cite \textit{P. Simon}, Acta Math. Hung. 49, 425--431 (1987; Zbl 0643.42020) Full Text: DOI
Yoneda, K. A note on convergence of Walsh-Fourier series of a function on a class \(V_{\alpha}\). (English) Zbl 0623.42014 Acta Math. Hung. 49, 77-81 (1987). Reviewer: B.Kuttner MSC: 42C10 42A16 PDF BibTeX XML Cite \textit{K. Yoneda}, Acta Math. Hung. 49, 77--81 (1987; Zbl 0623.42014) Full Text: DOI
Wade, William R. A unified approach to uniqueness of Walsh series and Haar series. (English) Zbl 0614.42016 Proc. Am. Math. Soc. 99, 61-65 (1987). Reviewer: P.Chandra MSC: 42C10 43A75 PDF BibTeX XML Cite \textit{W. R. Wade}, Proc. Am. Math. Soc. 99, 61--65 (1987; Zbl 0614.42016) Full Text: DOI
Butzer, P. L.; Engels, W.; Wipperfürth, U. An extension of the dyadic calculus with fractional order derivatives. Further theory and applications. (English) Zbl 0661.42018 Comput. Math. Appl., Part A 12, 921-943 (1986). Reviewer: W.Splettstößer MSC: 42C10 26A24 26A36 40G05 PDF BibTeX XML Cite \textit{P. L. Butzer} et al., Comput. Math. Appl., Part A 12, 921--943 (1986; Zbl 0661.42018) Full Text: DOI
Butzer, P. L.; Engels, W.; Wipperfürth, U. An extension of the dyadic calculus with fractional order derivatives: general theory. (English) Zbl 0658.42030 Comput. Math. Appl., Part B 12, 1073-1090 (1986). Reviewer: W.Splettstößer MSC: 42C10 26A24 40G05 26A36 PDF BibTeX XML Cite \textit{P. L. Butzer} et al., Comput. Math. Appl., Part B 12, 1073--1090 (1986; Zbl 0658.42030)
Fridli, S. Approximation by Vilenkin-Fourier sums. (English) Zbl 0636.42026 Acta Math. Hung. 47, 33-44 (1986). Reviewer: L.Leindler MSC: 42C10 PDF BibTeX XML Cite \textit{S. Fridli}, Acta Math. Hung. 47, 33--44 (1986; Zbl 0636.42026) Full Text: DOI
Glukhov, V. A. Summation of Fourier-Walsh series. (English. Russian original) Zbl 0614.42012 Ukr. Math. J. 38, 261-266 (1986); translation from Ukr. Mat. Zh. 38, No. 3, 261-266 (1986). Reviewer: J.Musielak MSC: 42C10 PDF BibTeX XML Cite \textit{V. A. Glukhov}, Ukr. Math. J. 38, 261--266 (1986; Zbl 0614.42012); translation from Ukr. Mat. Zh. 38, No. 3, 261--266 (1986) Full Text: DOI