Kharkevych, Yu. I. Exact values of the approximations of differentiable functions by Poisson-type integrals. (English. Ukrainian original) Zbl 1512.42001 Cybern. Syst. Anal. 59, No. 2, 274-282 (2023); translation from Kibern. Sist. Anal. 59, No. 2, 112-121 (2023). MSC: 42A10 41A30 41A65 45P05 31A30 PDFBibTeX XMLCite \textit{Yu. I. Kharkevych}, Cybern. Syst. Anal. 59, No. 2, 274--282 (2023; Zbl 1512.42001); translation from Kibern. Sist. Anal. 59, No. 2, 112--121 (2023) Full Text: DOI
Li, Dong; Sire, Yannick Remarks on the Bernstein inequality for higher order operators and related results. (English) Zbl 1505.35303 Trans. Am. Math. Soc. 376, No. 2, 945-967 (2023). MSC: 35Q35 35Q86 86A05 35B53 35B65 35B09 42B25 42B35 31A30 26A33 35R11 PDFBibTeX XMLCite \textit{D. Li} and \textit{Y. Sire}, Trans. Am. Math. Soc. 376, No. 2, 945--967 (2023; Zbl 1505.35303) Full Text: DOI arXiv
Hrabova, Ulyana Z.; Kal’chuk, Inna V. Approximation of classes \({C}_{\beta, \infty}^{\psi }\) by three-harmonic Poisson integrals in uniform metric (low smoothness). (English. Ukrainian original) Zbl 1507.42003 J. Math. Sci., New York 268, No. 2, 178-191 (2022); translation from Ukr. Mat. Visn. 19, No. 3, 355-372 (2022). MSC: 42A10 41A35 31A05 31A30 PDFBibTeX XMLCite \textit{U. Z. Hrabova} and \textit{I. V. Kal'chuk}, J. Math. Sci., New York 268, No. 2, 178--191 (2022; Zbl 1507.42003); translation from Ukr. Mat. Visn. 19, No. 3, 355--372 (2022) Full Text: DOI
Guzmán, Carlos M.; Pastor, Ademir Some remarks on the inhomogeneous biharmonic NLS equation. (English) Zbl 1504.35481 Nonlinear Anal., Real World Appl. 67, Article ID 103643, 17 p. (2022). MSC: 35Q55 35Q41 31A30 35A01 35A02 35B35 42B25 PDFBibTeX XMLCite \textit{C. M. Guzmán} and \textit{A. Pastor}, Nonlinear Anal., Real World Appl. 67, Article ID 103643, 17 p. (2022; Zbl 1504.35481) Full Text: DOI arXiv
Gander, Martin J.; Zhang, Hui Analysis of double sweep optimized Schwarz methods: the positive definite case. (English) Zbl 1509.65133 Haynes, Ronald (ed.) et al., Domain decomposition methods in science and engineering XXV. Selected papers based on the presentations at the 25th international conference on domain decomposition methods, Memorial University of Newfoundland, in St. John’s, Newfoundland and Labrador, Canada, July 23–27, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 138, 53-64 (2020). MSC: 65N55 31A30 15A18 42B10 65F08 65F10 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{H. Zhang}, Lect. Notes Comput. Sci. Eng. 138, 53--64 (2020; Zbl 1509.65133) Full Text: DOI
de la Riva, A. Pé; Gaspar, F. J.; Rodrigo, C. On the robust solution of an isogeometric discretization of bilaplacian equation by using multigrid methods. (English) Zbl 1446.65193 Comput. Math. Appl. 80, No. 2, 386-394 (2020). MSC: 65N55 42A38 31A30 PDFBibTeX XMLCite \textit{A. P. de la Riva} et al., Comput. Math. Appl. 80, No. 2, 386--394 (2020; Zbl 1446.65193) Full Text: DOI
Garay, José C.; Magoulès, Frédéric; Szyld, Daniel B. Optimized Schwarz method for Poisson’s equation in rectangular domains. (English) Zbl 1450.65161 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 533-541 (2018). MSC: 65N55 65N22 42A38 35J05 PDFBibTeX XMLCite \textit{J. C. Garay} et al., Lect. Notes Comput. Sci. Eng. 125, 533--541 (2018; Zbl 1450.65161) Full Text: DOI
Strozzi, Antonio; Bertocchi, Enrico A note on the Legendre series solution of the Laplace equation for cylindrical problems. (English) Zbl 1305.74018 J. Elasticity 118, No. 1, 109-112 (2015). MSC: 74B05 31A30 42C05 PDFBibTeX XMLCite \textit{A. Strozzi} and \textit{E. Bertocchi}, J. Elasticity 118, No. 1, 109--112 (2015; Zbl 1305.74018) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M.; Ahmed, H. M. The coefficients of differentiated expansions of double and triple Jacobi polynomials. (English) Zbl 1302.42042 Bull. Iran. Math. Soc. 38, No. 3, 739-765 (2012). Reviewer: María-José Cantero (Zaragoza) MSC: 42C10 33C45 65L05 65L10 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Bull. Iran. Math. Soc. 38, No. 3, 739--765 (2012; Zbl 1302.42042)
Nguyen Van Ngoc; Nguyen Thi Ngan Solvability of a system of dual integral equations of a mixed boundary value problem for the biharmonic equation in a strip. (English) Zbl 1231.35058 Acta Math. Vietnam. 36, No. 2, 375-396 (2011). MSC: 35J40 31A30 74K20 42A38 47G30 PDFBibTeX XMLCite \textit{Nguyen Van Ngoc} and \textit{Nguyen Thi Ngan}, Acta Math. Vietnam. 36, No. 2, 375--396 (2011; Zbl 1231.35058) Full Text: Link
Kounchev, Ognyan; Render, Hermann Polyharmonicity and algebraic support of measures. (English) Zbl 1124.44003 Hiroshima Math. J. 37, No. 1, 25-44 (2007). Reviewer: R. S. Dahiya (Ames) MSC: 44A15 31A30 42C05 PDFBibTeX XMLCite \textit{O. Kounchev} and \textit{H. Render}, Hiroshima Math. J. 37, No. 1, 25--44 (2007; Zbl 1124.44003) Full Text: arXiv Euclid
Kruglyak, N.; Kuznetsov, E. A. The limiting case of the Marcinkiewicz integral: Growth for convex sets. (English) Zbl 1133.42021 Proc. Am. Math. Soc. 135, No. 10, 3283-3293 (2007). Reviewer: Chin-Cheng Lin (Chung-Li) MSC: 42B20 42B25 PDFBibTeX XMLCite \textit{N. Kruglyak} and \textit{E. A. Kuznetsov}, Proc. Am. Math. Soc. 135, No. 10, 3283--3293 (2007; Zbl 1133.42021) Full Text: DOI
Olofsson, Anders Regularity in a singular biharmonic Dirichlet problem. (English) Zbl 1102.31003 Monatsh. Math. 148, No. 3, 229-239 (2006). Reviewer: Henrik Laurberg Pedersen (Frederiksberg) MSC: 31A30 35J40 42A10 PDFBibTeX XMLCite \textit{A. Olofsson}, Monatsh. Math. 148, No. 3, 229--239 (2006; Zbl 1102.31003) Full Text: DOI
Kwembe, Tor A. On the nonlinear bi-harmonic parabolic equation with data in \(L^p\) spaces. (English) Zbl 1068.35040 Ladde, G.S.(ed.) et al., Dynamic systems and applications. Volume 4. Proceedings of the 4th international conference, Morehouse College, Atlanta, GA, USA, May 21–24, 2003. Atlanta, GA: Dynamic Publishers (ISBN 1-890888-00-1/hbk). 213-219 (2004). MSC: 35K30 35K55 31A30 42B20 42B25 47H10 47H50 47J05 PDFBibTeX XMLCite \textit{T. A. Kwembe}, in: Dynamic systems and applications. Volume 4. Proceedings of the 4th international conference, Morehouse College, Atlanta, GA, USA, May 21--24, 2003. Atlanta, GA: Dynamic Publishers. 213--219 (2004; Zbl 1068.35040)
Zhigallo, K. M. On approximation of classes of \((\psi,\beta)\)-differentiable functions by biharmonic Poisson operators. (Ukrainian. English summary) Zbl 1030.31003 Kovtunets, V. V. (ed.), Approximation theory and its applications. Proceedings of the international conference dedicated to the memory of Vladislav Kirillovich Dzyadyk held in Kiev, Ukraine, May 27-31, 1999. Kyïv: Instytut Matematyky NAN Ukraïny. Pr. Inst. Mat. Nats. Akad. Nauk Ukr., Mat. Zastos. 31, 227-236 (2000). Reviewer: A.M.Gomilko (Kyïv) MSC: 31A30 41A35 42A85 PDFBibTeX XMLCite \textit{K. M. Zhigallo}, in: Teoriya nablyzhennya funktsij ta ïï zastosuvannya. Kyïv: Instytut Matematyky NAN Ukraïny. 227--236 (2000; Zbl 1030.31003)
Goedecker, Stefan Wavelets and their application for the solution of partial differential equations in physics. (English) Zbl 0920.35002 Cahiers de Physique. 4. Lausanne: Presses Politechniques et Universitaires Romandes. 72 p. (1998). Reviewer: Joseph Lakey (Las Cruces) MSC: 35-02 42-02 35A35 42C40 PDFBibTeX XMLCite \textit{S. Goedecker}, Wavelets and their application for the solution of partial differential equations in physics. Lausanne: Presses Politechniques et Universitaires Romandes (1998; Zbl 0920.35002)
Meleshko, V. V.; Gomilko, A. M. Infinite systems for a biharmonic problem in a rectangle. (English) Zbl 0891.31003 Proc. R. Soc. Lond., Ser. A 453, No. 1965, 2139-2160 (1997). Reviewer: Yang Yingchen (Beijing) MSC: 31A30 42B05 15A06 76D45 74K20 PDFBibTeX XMLCite \textit{V. V. Meleshko} and \textit{A. M. Gomilko}, Proc. R. Soc. Lond., Ser. A 453, No. 1965, 2139--2160 (1997; Zbl 0891.31003) Full Text: DOI
Gamba, Irene M. Higher order asymptotic boundary conditions for an oxide region in a semiconductor device. (English) Zbl 0883.35033 D’Attellis, C. E. et al., Wavelet theory and harmonic analysis in applied sciences. Based on the 1st Latinamerican conference on mathematics in industry and medicine, Buenos Aires, Argentina, November 27–December 1, 1995. Boston, MA: Birkhäuser. Applied and Numerical Harmonic Analysis. 301-314 (1997). Reviewer: V.V.Karachik (Tashkent) MSC: 35J55 42C15 31A30 PDFBibTeX XMLCite \textit{I. M. Gamba}, in: Wavelet theory and harmonic analysis in applied sciences. Based on the 1st Latinamerican conference on mathematics in industry and medicine, Buenos Aires, Argentina, November 27--December 1, 1995. Boston, MA: Birkhäuser. 301--314 (1997; Zbl 0883.35033)
Tcha-Kondor, Ouro Nouvelles séries trigonométriques adaptées à l’étude de problèmes aux limites pour l’équation biharmonique. Étude du cas de la fissure. (New trigonometric series adapted to the study of boundary value problems for the biharmonic equation. Case of crack). (French) Zbl 0766.31003 C. R. Acad. Sci., Paris, Sér. I 315, No. 5, 541-544 (1992). MSC: 31A30 35J40 42C15 PDFBibTeX XMLCite \textit{O. Tcha-Kondor}, C. R. Acad. Sci., Paris, Sér. I 315, No. 5, 541--544 (1992; Zbl 0766.31003)
Spence, D. A. A note on the eigenfunction expansion for the elastic strip. (English) Zbl 0494.73004 SIAM J. Appl. Math. 42, 155-173 (1982). MSC: 74B10 31A30 35P10 42C15 PDFBibTeX XMLCite \textit{D. A. Spence}, SIAM J. Appl. Math. 42, 155--173 (1982; Zbl 0494.73004) Full Text: DOI
Gutknecht, Martin H. Two applications of periodic splines. (English) Zbl 0481.65073 Approximation theory III, Proc. Conf. Hon. G.G. Lorentz, Austin/Tex. 1980, 467-472 (1980). MSC: 65N35 65T40 42A15 35J05 42A50 65D07 PDFBibTeX XML
Eastwood, J. W.; Brownrigg, D. R. K. Remarks on the solution of Poisson’s equation for isolated systems. (English) Zbl 0407.65050 J. Comput. Phys. 32, 24-38 (1979). MSC: 65N99 42B10 35J05 35A22 PDFBibTeX XMLCite \textit{J. W. Eastwood} and \textit{D. R. K. Brownrigg}, J. Comput. Phys. 32, 24--38 (1979; Zbl 0407.65050) Full Text: DOI
Obaid, Evelyn Poisson’s formula for the two dimensional wave equation. (English) Zbl 0436.35048 Bul. Inst. Politeh. Iași, Secț. I 22(26), No. 3-4, 65-68 (1976). MSC: 35L05 35A22 42B05 PDFBibTeX XMLCite \textit{E. Obaid}, Bul. Inst. Politeh. Iași, Secț. I 22(26), No. 3--4, 65--68 (1976; Zbl 0436.35048)
Stark, Eberhard L. On a generalization of Abel-Poisson’s singular integral having kernels of finite oscillation. (English) Zbl 0273.41016 Stud. Sci. Math. Hung. 7(1972), 437-449 (1973). MSC: 41A35 42A16 41A40 31A30 PDFBibTeX XMLCite \textit{E. L. Stark}, Stud. Sci. Math. Hung. 7, 437--449 (1973; Zbl 0273.41016)