Zhang, Gui-Zhi; Yang, Zhen-Hang; Qi, Feng On normalized tails of series expansion of generating function of Bernoulli numbers. (English) Zbl 07959332 Proc. Am. Math. Soc. 153, No. 1, 131-141 (2025). MSC: 41A80 05A15 11B68 26A48 26A51 41A58 × Cite Format Result Cite Review PDF Full Text: DOI
Fricain, Emmanuel; Mashreghi, Javad Approximation by modified Taylor polynomials in the harmonically weighted Dirichlet spaces. (English) Zbl 07963402 Complex Anal. Oper. Theory 19, No. 1, Paper No. 3, 13 p. (2024). MSC: 30E10 41A10 × Cite Format Result Cite Review PDF Full Text: DOI
Cheng, Guozheng; Fang, Xiang; Liu, Chao; Lu, Yufeng Solid bases and functorial constructions for (\(p\)-)Banach spaces of analytic functions. (English) Zbl 07962064 Proc. Edinb. Math. Soc., II. Ser. 67, No. 4, 1013-1044 (2024). MSC: 30B20 47B37 × Cite Format Result Cite Review PDF Full Text: DOI
Marques, Sophie; Pagano, Luigi A characterization of ramification groups via jet algebras. (English) Zbl 07958113 Eur. J. Math. 10, No. 4, Paper No. 67, 28 p. (2024). MSC: 14A05 13A50 13B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
van Harten, Wouter Gerrit; Scarabosio, Laura Exploiting locality in sparse polynomial approximation of parametric elliptic PDEs and application to parameterized domains. (English) Zbl 07957220 ESAIM, Math. Model. Numer. Anal. 58, No. 5, 1581-1613 (2024). MSC: 65N30 65T60 65N12 65N15 41A58 41A10 41A63 35J25 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lebedev, A. V.; Trubnikov, Yu. V.; Chernyavsky, M. M. On the Hadamard and Vandermonde determinants and the Bernoulli-Euler-Lagrange-Aitken method for calculating the roots of polynomials. (English. Russian original) Zbl 07942187 Math. Notes 116, No. 1, 77-92 (2024); translation from Mat. Zametki 116, No. 1, 91-108 (2024). MSC: 30C10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI
Gadzhimirzaev, R. M. Jackson-type theorem on approximation by algebraic polynomials in the uniform metric with Laguerre weight. (English. Russian original) Zbl 07942183 Math. Notes 116, No. 1, 30-39 (2024); translation from Mat. Zametki 116, No. 1, 34-44 (2024). Reviewer: Richard A. Zalik (Auburn) MSC: 41A17 41A10 41A58 × Cite Format Result Cite Review PDF Full Text: DOI
Priyadarsini, Dibyajyoti; Routaray, Mitali; Sahu, Prakash Kumar A new numerical approach to the solution of the nonlinear Kawahara equation by using combined Taylor-Dickson approximation. (English) Zbl 07908519 Iran. J. Numer. Anal. Optim. 14, No. 1, 20-43 (2024). MSC: 35C11 35G20 65N22 × Cite Format Result Cite Review PDF Full Text: DOI
Birem, Fouzia; Boulmerka, Aissa; Laib, Hafida; Hennous, Chahinaz Goursat problem in hyperbolic partial differential equations with variable coefficients solved by Taylor collocation method. (English) Zbl 07908228 Iran. J. Numer. Anal. Optim. 14, No. 2, 613-637 (2024). MSC: 45D05 34K28 45L05 30K05 × Cite Format Result Cite Review PDF Full Text: DOI
Chaggara, H.; Gahami, A.; Ben Romdhane, N. Some expansion formulas for Brenke polynomial sets. (English) Zbl 1546.33009 Integral Transforms Spec. Funct. 35, No. 9, 421-436 (2024). MSC: 33C47 33C45 39A70 41A10 41A58 44A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aghili, Alireza; Shabani, Amir Hossein Evaluation of smooth reaction rate of noisy experimental data using Legendre series expansion. (English) Zbl 1543.92001 J. Math. Chem. 62, No. 7, 1521-1536 (2024). MSC: 92-08 92E20 65D25 41A10 41A58 42C10 65D30 80A30 × Cite Format Result Cite Review PDF Full Text: DOI
Charpentier, S.; Levenberg, N.; Wielonsky, F. Weighted holomorphic polynomial approximation. (English) Zbl 1543.41003 Anal. Math. Phys. 14, No. 4, Paper No. 84, 24 p. (2024). Reviewer: Devendra Kumar (Al-Baha) MSC: 41A10 30E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gadzhimirzaev, R. M. Estimates for the convergence rate of a Fourier series in Laguerre-Sobolev polynomials. (English. Russian original) Zbl 1546.41010 Sib. Math. J. 65, No. 4, 751-763 (2024); translation from Sib. Mat. Zh. 65, No. 4, 622-635 (2024). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 41A25 41A58 42C10 × Cite Format Result Cite Review PDF Full Text: DOI
Qi, Feng; Taylor, Peter Series expansions for real powers of sinc function and closed-form expression for specific partial Bell polynomials. (English) Zbl 07877078 Appl. Anal. Discrete Math. 18, No. 1, 92-115 (2024). MSC: 41A58 05A19 11B73 11B83 11C08 33B10 × Cite Format Result Cite Review PDF Full Text: DOI
Conca, Aldo; Naldi, Simone; Ottaviani, Giorgio; Sturmfels, Bernd Taylor polynomials of rational functions. (English) Zbl 1540.14109 Acta Math. Vietnam. 49, No. 1, 19-37 (2024). Reviewer: Vladimir P. Kostov (Nice) MSC: 14N05 14Q20 13C40 41A21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hussen, Abdulmtalb; Alamari, Moamar M. Bounds on coefficients for a subclass of bi-univalent functions with Lucas-balancing polynomials and Ruscheweyh derivative operator. (English) Zbl 07866772 Int. J. Math. Comput. Sci. 19, No. 4, 1237-1249 (2024). MSC: 30C45 × Cite Format Result Cite Review PDF Full Text: Link
Avazzadeh, Z.; Hassani, H.; Ebadi, M. J.; Eshkaftaki, A. Bayati; Hendy, A. S. An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs. (English) Zbl 07860036 Int. J. Comput. Math. 101, No. 2, 138-153 (2024). MSC: 41A58 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Bouzeraieb, H.; Laib, H.; Boulmerka, A. Numerical solution of neutral double delay Volterra integral equations using Taylor collocation method. (English) Zbl 07854513 Nonlinear Dyn. Syst. Theory 24, No. 3, 236-245 (2024). MSC: 65R20 45D05 45L05 34K40 92D25 × Cite Format Result Cite Review PDF Full Text: Link
Ansari, Khursheed J.; Izadi, Mohammad; Noeiaghdam, Samad Enhancing the accuracy and efficiency of two uniformly convergent numerical solvers for singularly perturbed parabolic convection-diffusion-reaction problems with two small parameters. (English) Zbl 1541.65118 Demonstr. Math. 57, Article ID 20230144, 23 p. (2024). MSC: 65M70 65M20 65N35 65N12 41A10 41A50 35B25 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Straub, Armin Gessel-Lucas congruences for sporadic sequences. (English) Zbl 1545.11030 Monatsh. Math. 203, No. 4, 883-898 (2024). Reviewer: Enzo Bonacci (Latina) MSC: 11B83 11B37 11B50 11A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oertel, Frank Upper bounds for Grothendieck constants, quantum correlation matrices and CCP functions. (English) Zbl 07820894 Lecture Notes in Mathematics 2349. Cham: Springer (ISBN 978-3-031-57200-5/pbk; 978-3-031-57201-2/ebook). xvi, 230 p. (2024). MSC: 46-02 81-02 15A60 05A10 33C05 33C45 41A58 62H05 62H20 46A20 47B10 81P45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Benamira, Wissem; Nasri, Ahmed; Ellaggoune, Fateh Operational rules for a new family of \(d\)-orthogonal polynomials of Laguerre type. (English) Zbl 1542.33008 Integral Transforms Spec. Funct. 35, No. 2, 77-94 (2024). Reviewer: Misael Marriaga (Móstoles) MSC: 33C45 39A70 41A58 42C05 × Cite Format Result Cite Review PDF Full Text: DOI
Guella, J. C.; Jäger, J. Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: the asymptotic approach. (English) Zbl 1542.43008 Positivity 28, No. 1, Paper No. 4, 14 p. (2024). MSC: 43A85 43A90 43A35 42A82 42C10 33C45 41A05 41A58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Al-Towailb, M.; Mansour, Z. S. I. The \(q\)-Lidstone series involving \(q\)-Bernoulli and \(q\)-Euler polynomials generated by the third Jackson \(q\)-Bessel function. (English) Zbl 1536.33022 Kyoto J. Math. 64, No. 1, 205-228 (2024). Reviewer: Roberto S. Costas-Santos (Sevilla) MSC: 33D45 41A58 11B68 30B10 30E20 39A13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Prestin, Jürgen; Savchuk, Viktor; Shidlich, Andrii Approximation on hexagonal domains by Taylor-Abel-Poisson means. (English) Zbl 1531.41007 J. Math. Anal. Appl. 529, No. 2, Article ID 127536, 22 p. (2024). Reviewer: Fahreddin Abdullayev (Mersin) MSC: 41A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Birem, F.; Boulmerka, A.; Laib, H.; Hennous, C. An algorithm for solving first-kind two-dimensional Volterra integral equations using collocation method. (English) Zbl 07814867 Nonlinear Dyn. Syst. Theory 23, No. 5, 475-486 (2023). MSC: 65R20 45D05 × Cite Format Result Cite Review PDF Full Text: Link
Kuznetsov, Dmitriy Feliksovich Mean-square approximation of iterated Ito and Stratonovich stochastic integrals: method of generalized multiple Fourier series. Application to numerical integration of Ito SDEs and semilinear SPDEs. 3rd edition. (English) Zbl 1528.60002 Differ. Uravn. Protsessy Upr. 2023, No. 1, 947 p. (2023). MSC: 60-02 65-02 35Q62 60H05 60H10 65C30 × Cite Format Result Cite Review PDF Full Text: Link
Khennaoui, Cheima; Bellour, Azzeddine; Laib, Hafida Taylor collocation method for solving two-dimensional partial Volterra integro-differential equations. (English) Zbl 1531.65285 Math. Methods Appl. Sci. 46, No. 12, 12735-12758 (2023). MSC: 65R20 45K05 45D05 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhi Guo A multiple \(q\)-translation formula and its implications. (English) Zbl 1535.33017 Acta Math. Sin., Engl. Ser. 39, No. 12, 2338-2363 (2023). Reviewer: Thomas Ernst (Uppsala) MSC: 33D05 33D15 33D45 05A30 39A13 41A58 32A05 30B10 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Ruifeng A kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator with higher approximation order. (English) Zbl 1532.41002 J. Inequal. Appl. 2023, Paper No. 88, 31 p. (2023). MSC: 41A05 65D05 65D15 × Cite Format Result Cite Review PDF Full Text: DOI
Patel, Krupanshibahen Narendrabhai; Dave, Bhadreshkumar Indunarayan A class of orthogonal polynomials associated with the Legendre polynomial. (English) Zbl 1533.33016 Appl. Math. E-Notes 23, 316-327 (2023). MSC: 33C45 41A58 × Cite Format Result Cite Review PDF Full Text: Link
Charpentier, Stéphane; Mouze, Augustin Abel universal functions. (English) Zbl 1542.30054 Can. J. Math. 75, No. 6, 1957-1985 (2023). MSC: 30K05 40A05 41A10 47A16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gómez, Sergio; Moiola, Andrea; Perugia, Ilaria; Stocker, Paul On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation. (English) Zbl 07741242 Appl. Math. Lett. 146, Article ID 108824, 10 p. (2023). MSC: 65Mxx 78Mxx 41Axx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zappino, E.; Scano, D.; Carrera, E. Finite element models with node-dependent kinematics based on Legendre polynomials for the global-local analysis of compact and thin walled beams. (English) Zbl 1539.74194 Comput. Methods Appl. Mech. Eng. 415, Article ID 116212, 23 p. (2023). MSC: 74K10 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Can; Shen, Jie Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise. (English) Zbl 1522.65231 Math. Comput. 92, No. 344, 2685-2713 (2023). MSC: 65N35 65E05 65N12 41A10 41A25 41A30 41A58 60H40 60H50 35B65 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Yela, Alberto López; Míguez, Joaquín Polynomial propagation of moments in stochastic differential equations. (English) Zbl 1515.65035 SIAM J. Appl. Dyn. Syst. 22, No. 2, 1153-1181 (2023). MSC: 65C30 60H10 41A58 41A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Breden, Maxime A posteriori validation of generalized polynomial chaos expansions. (English) Zbl 1530.37103 SIAM J. Appl. Dyn. Syst. 22, No. 2, 765-801 (2023). MSC: 37M21 34F05 42C05 41A58 60H35 65P20 65P30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alves, Alexandre Bernoulli approximation to sine and cosine functions. (English) Zbl 1515.97006 Int. J. Math. Educ. Sci. Technol. 54, No. 5, 924-942 (2023). MSC: 97I20 97I30 × Cite Format Result Cite Review PDF Full Text: DOI
Belbachir, Hacène; Otmani, Yassine Quadrinomial-like versions for Wolstenholme, Morley and Glaisher congruences. (English) Zbl 1517.11001 Integers 23, Paper A27, 21 p. (2023). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 11B68 05A10 × Cite Format Result Cite Review PDF Full Text: Link
Chaggara, H.; Boussorra, S. Operational rules and \(d\)-orthogonal polynomials of Laguerre type. (English) Zbl 1529.33009 Integral Transforms Spec. Funct. 34, No. 2, 145-161 (2023). MSC: 33C45 42C05 44A45 44A55 39A70 41A10 41A58 × Cite Format Result Cite Review PDF Full Text: DOI
Braichev, G. G. On the connection between the growth of zeros and the decrease of Taylor coefficients of entire functions. (English. Russian original) Zbl 1515.30067 Math. Notes 113, No. 1, 27-38 (2023); translation from Mat. Zametki 113, No. 1, 32-45 (2023). MSC: 30D15 30B10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI
Yönet, Nilay; Gürbüz, Burcu; Gökçe, Aytül An alternative numerical approach for an improved ecological model of interconnected lakes with a fixed pollutant. (English) Zbl 1511.37112 Comput. Appl. Math. 42, No. 1, Paper No. 56, 19 p. (2023). MSC: 37N25 92D40 65L05 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Waldschmidt, Michel Lidstone interpolation. III: Several variables. (English) Zbl 1507.41012 Trans. Am. Math. Soc., Ser. B 10, 201-219 (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 32A08 32A15 41A05 41A58 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Peng; Ghattas, Omar Sparse polynomial approximations for affine parametric saddle point problems. (English) Zbl 1528.41011 Vietnam J. Math. 51, No. 1, 151-175 (2023). MSC: 41A10 41A58 41A63 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chou, Tom; Shao, Sihong; Xia, Mingtao Adaptive Hermite spectral methods in unbounded domains. (English) Zbl 1500.65083 Appl. Numer. Math. 183, 201-220 (2023). MSC: 65M70 65M50 65D32 65M15 41A58 33C45 35P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sastre, Jorge; Ibáñez, Javier On the backward and forward error of approximations of analytic functions and applications to the computation of matrix functions. (English) Zbl 1502.65022 J. Comput. Appl. Math. 419, Article ID 114706, 18 p. (2023). MSC: 65F60 65D15 15A16 26C15 41-04 41A10 × Cite Format Result Cite Review PDF Full Text: DOI
Laib, Hafida; Boulmerka, Aissa; Bellour, Azzeddine; Birem, Fouzia Numerical solution of two-dimensional linear and nonlinear Volterra integral equations using Taylor collocation method. (English) Zbl 1502.65275 J. Comput. Appl. Math. 417, Article ID 114537, 21 p. (2023). MSC: 65R20 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Ismail, Mourad E. H.; Mansour, Zeinab S. I. \(q\)-type Lidstone expansions and an interpolation problem for entire functions. (English) Zbl 1498.05037 Adv. Appl. Math. 142, Article ID 102429, 30 p. (2023). MSC: 05A30 41A58 41A05 39A13 30E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adegoke, Kunle; Frontczak, Robert; Goy, Taras P. On a problem of Mező and its generalizations to three classes of rational zeta series. arXiv:2304.02474 Preprint, arXiv:2304.02474 [math.CO] (2023). MSC: 41A58 11M99 11B39 33B15 × Cite Format Result Cite Full Text: arXiv
Çayan, Seda; Özhan, B. Burak; Sezer, Mehmet An adaptive approach for solving fourth-order partial differential equations: algorithm and applications to engineering models. (English) Zbl 1513.65480 Comput. Appl. Math. 41, No. 8, Paper No. 408, 17 p. (2022). MSC: 65N35 35Q74 74K20 33C45 41A58 × Cite Format Result Cite Review PDF Full Text: DOI
Cohen, Joel E. Variance functions of asymptotically exponentially increasing integer sequences go beyond Taylor’s Law. (English) Zbl 1512.11021 J. Integer Seq. 25, No. 9, Article 22.9.3, 13 p. (2022). MSC: 11B39 11B37 × Cite Format Result Cite Review PDF Full Text: Link
Luchko, Yuri Convolution series and the generalized convolution Taylor formula. (English) Zbl 1503.26012 Fract. Calc. Appl. Anal. 25, No. 1, 207-228 (2022). MSC: 26A33 41A58 44A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Israfilov, Daniyal M.; Celik, Fatih; Dilsizoglu, Dilek Simultaneous-maximal approximation by Taylor partial sums. (English) Zbl 1503.30006 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, No. 2, 274-284 (2022). MSC: 30B10 30E10 41A10 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Bai-Ni; Lim, Dongkyu; Qi, Feng Maclaurin’s series expansions for positive integer powers of inverse (hyperbolic) sine and tangent functions, closed-form formula of specific partial Bell polynomials, and series representation of generalized logsine function. (English) Zbl 1513.41041 Appl. Anal. Discrete Math. 16, No. 2, 427-466 (2022). MSC: 41A58 05A19 11B73 11B83 11C08 26A39 33B10 33B15 33B20 × Cite Format Result Cite Review PDF Full Text: DOI
Awonusika, Richard Olu; Ariwayo, Afolabi Gabriel Descriptions of fractional coefficients of Jacobi polynomial expansions. (English) Zbl 1524.33019 J. Anal. 30, No. 4, 1567-1608 (2022). MSC: 33C05 33C45 34A08 35A08 35C05 35C10 35C15 × Cite Format Result Cite Review PDF Full Text: DOI
Izadi, Mohammad; Zeidan, Dia A convergent hybrid numerical scheme for a class of nonlinear diffusion equations. (English) Zbl 1513.65408 Comput. Appl. Math. 41, No. 7, Paper No. 318, 27 p. (2022). MSC: 65M70 41A10 41A58 65N12 65M15 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Hosseini, Vahid Reza; Rezazadeh, Arezou; Zheng, Hui; Zou, Wennan A nonlocal modeling for solving time fractional diffusion equation arising in fluid mechanics. (English) Zbl 1497.65204 Fractals 30, No. 5, Article ID 2240155, 21 p. (2022). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65M99 26A33 35R11 42C10 41A58 76R50 × Cite Format Result Cite Review PDF Full Text: DOI
Agadzhanov, A. N. Taylor-type formulas for arbitrary continuous functions on intervals and their application in control problems for distributed systems. (English. Russian original) Zbl 1498.26004 Dokl. Math. 105, No. 2, 56-60 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 11-15 (2022). Reviewer: Thomas Riedel (Louisville) MSC: 26A24 93C20 × Cite Format Result Cite Review PDF Full Text: DOI
Izadi, Mohammad; Samei, Mohammad Esmael Time accurate solution to Benjamin-Bona-Mahony-Burgers equation via Taylor-Boubaker series scheme. (English) Zbl 1490.65221 Bound. Value Probl. 2022, Paper No. 17, 29 p. (2022). MSC: 65M70 65M12 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Maklakov, Vladimir Nikolaevich The use of pseudoresiduals in the study of convergence of unstable difference boundary value problems for linear nonhomogeneous ordinary second-order differential equations. (Russian. English summary) Zbl 1513.65233 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 26, No. 1, 140-178 (2022). MSC: 65L10 34B05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Izadi, Mohammad; Yüzbaşı, Şuayip A hybrid approximation scheme for 1-D singularly perturbed parabolic convection-diffusion problems. (English) Zbl 1490.65222 Math. Commun. 27, No. 1, 47-62 (2022). MSC: 65M70 65M12 65M06 × Cite Format Result Cite Review PDF Full Text: Link
Amata, Luca; Crupi, Marilena; Ficarra, Antonino Projective dimension and Castelnuovo-Mumford regularity of \(t\)-spread ideals. (English) Zbl 1536.05492 Int. J. Algebra Comput. 32, No. 4, 837-858 (2022). MSC: 05E40 13B25 13D02 16W50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Izadi, Mohammad; Roul, Pradip Spectral semi-discretization algorithm for a class of nonlinear parabolic PDEs with applications. (English) Zbl 1510.65260 Appl. Math. Comput. 429, Article ID 127226, 14 p. (2022). MSC: 65M70 35K57 41A10 41A58 × Cite Format Result Cite Review PDF Full Text: DOI
Yalçın, Elif; Sezer, Mehmet A compatible Hermite-Taylor matrix-collocation technique with convergence test for second-order partial integro-differential equations containing two independent variables with functional bounds. (English) Zbl 1486.65213 Math. Sci., Springer 16, No. 1, 59-69 (2022). MSC: 65M70 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Laib, Hafida; Bellour, Azzeddine; Boulmerka, Aissa Taylor collocation method for a system of nonlinear Volterra delay integro-differential equations with application to COVID-19 epidemic. (English) Zbl 1499.65753 Int. J. Comput. Math. 99, No. 4, 852-876 (2022). MSC: 65R20 65L60 45J05 45D05 45G15 45L05 92D30 92D25 × Cite Format Result Cite Review PDF Full Text: DOI DOI
Fernández, Francisco M. Comment on: “A new approach to solve the Schrödinger equation with an anharmonic sextic potential”. (English) Zbl 1487.81082 J. Math. Chem. 60, No. 2, 261-266 (2022). MSC: 81Q05 26C05 34K21 33C15 41A58 × Cite Format Result Cite Review PDF Full Text: DOI Link
Rostami, Yaser; Maleknejad, Khosrow The solution of the nonlinear mixed partial integro-differential equation via two-dimensional hybrid functions. (English) Zbl 1491.65174 Mediterr. J. Math. 19, No. 2, Paper No. 89, 20 p. (2022). MSC: 65R20 45K05 45D05 45B05 × Cite Format Result Cite Review PDF Full Text: DOI
Dăianu, Dan M. Samples of homogeneous functions. (English) Zbl 1496.41002 Result. Math. 77, No. 2, Paper No. 78, 14 p. (2022). MSC: 41A10 22A10 41A58 41A80 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen, Oanh; Vu, Van Roots of random functions: a framework for local universality. (English) Zbl 1496.60012 Am. J. Math. 144, No. 1, 1-74 (2022). Reviewer: Zakhar Kabluchko (Münster) MSC: 60E05 26C10 30C15 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Phung Van Manh; Nguyen Van Trao; Phan Thanh Tung; Le Ngoc Cuong Taylor type and Hermite type interpolants in \(\mathbb{R}^n \). (English) Zbl 1516.65005 Numer. Algorithms 89, No. 1, 145-166 (2022). MSC: 65D05 41A10 41A63 × Cite Format Result Cite Review PDF Full Text: DOI
Nimbran, Amrik Singh; Levrie, Paul; Sofo, Anthony Harmonic-binomial Euler-like sums via expansions of \((\arcsin x)^p\). (English) Zbl 1478.05008 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 23, 23 p. (2022). MSC: 05A10 11B68 11B65 11M06 11Y60 33B15 41A58 × Cite Format Result Cite Review PDF Full Text: DOI Link
Qi, Feng; Taylor, Peter John Several series expansions for real powers and several formulas for partial Bell polynomials of sinc and sinhc functions in terms of central factorial and Stirling numbers of second kind. arXiv:2204.05612 Preprint, arXiv:2204.05612 [math.CA] (2022). MSC: 41A58 05A19 11B73 11B83 11C08 33B10 × Cite Format Result Cite Full Text: DOI arXiv
Lu, Yao; Tang, Yinggan Solving fractional differential equations using collocation method based on hybrid of block-pulse functions and Taylor polynomials. (English) Zbl 1520.65060 Turk. J. Math. 45, No. 3, 1065-1078 (2021). MSC: 65L60 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Caratelli, Diego; Srivastava, Rekha; Ricci, Paolo Emilio Computing matrix roots by \(2\)nd kind pseudo-Chebyshev functions and Dunford-Taylor integral. (English) Zbl 1513.15010 Lect. Notes TICMI 22, 47-62 (2021). MSC: 15A15 33C45 × Cite Format Result Cite Review PDF Full Text: Link
Ricci, Paolo Emilio; Srivastava, Rekha A note on multivariate pseudo-Chebyshev functions of fractional degree. (English) Zbl 1511.33006 Appl. Anal. Optim. 5, No. 1, 45-56 (2021). MSC: 33C20 11B83 15A15 30E20 × Cite Format Result Cite Review PDF Full Text: Link
Wang, Hailun; Wu, Fei; Lei, Dongge A novel numerical approach for solving fractional order differential equations using hybrid functions. (English) Zbl 1484.65172 AIMS Math. 6, No. 6, 5596-5611 (2021). MSC: 65L99 34A08 34A45 44A45 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Bai-Ni; Lim, Dongkyu; Qi, Feng Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions. (English) Zbl 1484.11084 AIMS Math. 6, No. 7, 7494-7517 (2021). MSC: 11B83 11C08 12E10 26A39 33B10 41A58 × Cite Format Result Cite Review PDF Full Text: DOI
Kuznetsov, Dmitriy Feliksovich Mean-square approximation of iterated Ito and Stratonovich stochastic integrals: method of generalized multiple Fourier series. Application to numerical integration of Ito SDEs and semilinear SPDEs. (English) Zbl 1492.60004 Differ. Uravn. Protsessy Upr. 2021, No. 4, 788 p. (2021). MSC: 60-02 65-02 35Q62 60H05 60H10 65C30 × Cite Format Result Cite Review PDF Full Text: Link Link
Kurşun, S.; Turgay, M.; Alagöz, O.; Acar, T. Approximation properties of multivariate exponential sampling series. (English) Zbl 1497.41018 Carpathian Math. Publ. 13, No. 3, 666-675 (2021). MSC: 41A35 42C10 × Cite Format Result Cite Review PDF Full Text: DOI
Barić, J.; Kvesić, Ljiljanka; Pečarić, Josip; Penava, M. Ribičić New bounds for generalized Taylor expansions. (English) Zbl 1491.26018 Math. Inequal. Appl. 24, No. 4, 993-999 (2021). MSC: 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Hedenmalm, Håkan; Wennman, Aron Planar orthogonal polynomials and boundary universality in the random normal matrix model. (English) Zbl 07472232 Acta Math. 227, No. 2, 309-406 (2021). MSC: 35Q15 60B20 33C45 35C20 42C05 31A15 35B40 41A58 47B35 44A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iserles, Arieh; Webb, Marcus A differential analogue of Favard’s theorem. (English) Zbl 1500.42010 Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 239-263 (2021). Reviewer: Lotfi Khériji (Tunis) MSC: 42C05 33C45 41A58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nanni, Luca A new approach to solve the Schrodinger equation with an anharmonic sextic potential. (English) Zbl 1483.81063 J. Math. Chem. 59, No. 10, 2284-2293 (2021). MSC: 81Q05 26C05 34K21 33C15 41A58 × Cite Format Result Cite Review PDF Full Text: DOI
Benatar, Jacques; Borichev, Alexander; Sodin, Mikhail The “pits effect” for entire functions of exponential type and the Wiener spectrum. (English) Zbl 1482.30002 J. Lond. Math. Soc., II. Ser. 104, No. 3, 1433-1451 (2021). MSC: 30B10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Wenjie; Wang, Li-Lian; Wu, Boying Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation. (English) Zbl 1496.41003 Adv. Comput. Math. 47, No. 6, Paper No. 79, 32 p. (2021). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A10 41A25 41A44 65N35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jitendra; Rai, K. N.; Singh, Jitendra A numerical study on non-Fourier heat conduction model of phase change problem with variable internal heat generation. (English) Zbl 07443414 J. Eng. Math. 129, Paper No. 7, 16 p. (2021); correction ibid. 140, Paper No. 7, 4 p. (2023). MSC: 65N06 65L20 65T60 42C10 41A58 35K05 35R37 80A22 80A10 35K61 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hongjia; Xu, Kuan On the backward error incurred by the compact rational Krylov linearization. (English) Zbl 1473.65045 J. Sci. Comput. 89, No. 1, Paper No. 15, 22 p. (2021). MSC: 65F15 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Ismail, Mourad E. H. A brief review of \(q\)-series. (English) Zbl 1483.05013 Cohl, Howard S. (ed.) et al., Lectures on orthogonal polynomials and special functions. Based on the 6th summer school on orthogonal polynomials and special functions (OPSF-S6), University of Maryland, College Park, MD, USA, July 11–15, 2016. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 464, 76-130 (2021). Reviewer: Zhi-Guo Liu (Shanghai) MSC: 05A30 05-02 11B65 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Awonusika, Richard Olu On Jacobi polynomials and fractional spectral functions on compact symmetric spaces. (English) Zbl 1489.33014 J. Anal. 29, No. 3, 987-1024 (2021). MSC: 33D15 33D45 × Cite Format Result Cite Review PDF Full Text: DOI
Bonito, Andrea; Cohen, Albert; Devore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana Nonlinear methods for model reduction. (English) Zbl 1476.41004 ESAIM, Math. Model. Numer. Anal. 55, No. 2, 507-531 (2021). Reviewer: Francisco Marcellán (Leganes) MSC: 41A10 41A58 41A63 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Yubo; Wang, Li-Lian; Zeng, Fanhai Analysis of a backward Euler-type scheme for Maxwell’s equations in a Havriliak-Negami dispersive medium. (English) Zbl 1481.65199 ESAIM, Math. Model. Numer. Anal. 55, No. 2, 479-506 (2021). MSC: 65M70 65M06 65N35 65N30 65E05 65N12 41A10 41A25 41A30 41A58 35B35 33E12 78A25 78A60 26A33 35R11 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Delgado, Jorge; Peña, Juan Manuel Evaluation of curves and surfaces by methods based on differential equations and CAGD. (English) Zbl 1466.65019 Int. J. Numer. Anal. Model. 18, No. 1, 1-18 (2021). MSC: 65D17 65D25 65L05 × Cite Format Result Cite Review PDF Full Text: Link
Homeier, Herbert H. H.; Srivastava, Hari M.; Masjed-Jamei, Mohammad; Moalemi, Zahra Some weighted quadrature methods based upon the mean value theorems. (English) Zbl 1469.41011 Math. Methods Appl. Sci. 44, No. 5, 3840-3856 (2021). MSC: 41A55 26A24 41A58 65D30 × Cite Format Result Cite Review PDF Full Text: DOI
Koepf, Wolfram Computer algebra. An algorithm-oriented introduction. Translated and updated from the 2006 German language edition. (English) Zbl 1484.68004 Springer Undergraduate Texts in Mathematics and Technology. Cham: Springer (ISBN 978-3-030-78016-6/hbk; 978-3-030-78019-7/pbk; 978-3-030-78017-3/ebook). xii, 384 p. (2021). Reviewer: Andreas Maletti (Leipzig) MSC: 68-01 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Griewank, A.; Streubel, T.; Tischendorf, C. On the abs-polynomial expansion of piecewise smooth functions. (English) Zbl 07368763 Optim. Methods Softw. 36, No. 2-3, 301-315 (2021). MSC: 65D15 41A10 41A58 49J52 × Cite Format Result Cite Review PDF Full Text: DOI
Morino, Luigi Mathematics and mechanics – the interplay. Volume I. The basics. (English) Zbl 1491.00005 Berlin: Springer (ISBN 978-3-662-63205-5/hbk; 978-3-662-63207-9/ebook). xxxvi, 1019 p. (2021). Reviewer: Enzo Bonacci (Latina) MSC: 00A06 00A09 70-01 70-03 97G70 97I40 97I50 15A03 15A09 70C20 41A58 51N20 × Cite Format Result Cite Review PDF Full Text: DOI
Park, Inyoung; Zhao, Jian; Zhu, Kehe Norm approximation by Taylor polynomials in Hardy and Bergman spaces. (English) Zbl 1475.32006 Int. J. Math. 32, No. 6, Article ID 2150037, 13 p. (2021). Reviewer: Fritz Haslinger (Wien) MSC: 32A36 32A35 41A58 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Yiting; Bercu, Gabriel New refinements of Becker-Stark and Cusa-Huygens inequalities via trigonometric polynomials method. (English) Zbl 1462.26015 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 87, 12 p. (2021). MSC: 26D05 26D15 41A21 42B05 × Cite Format Result Cite Review PDF Full Text: DOI
Bonito, Andrea; DeVore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana Polynomial approximation of anisotropic analytic functions of several variables. (English) Zbl 1462.41003 Constr. Approx. 53, No. 2, 319-348 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A10 41A58 41A63 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goh, Say Song; Goodman, Tim N. T.; Lee, S. L. Orthogonal polynomials, biorthogonal polynomials and spline functions. (English) Zbl 1460.41004 Appl. Comput. Harmon. Anal. 52, 141-164 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A30 41A58 42A38 33C45 65D07 × Cite Format Result Cite Review PDF Full Text: DOI