Schmerl, James H. Kernels, truth and satisfaction. (English) Zbl 1439.03112 Bull. Pol. Acad. Sci., Math. 67, No. 1, 31-35 (2019). Reviewer: Stelian Mihalas (Timişoara) MSC: 03H15 03C50 05C20 PDF BibTeX XML Cite \textit{J. H. Schmerl}, Bull. Pol. Acad. Sci., Math. 67, No. 1, 31--35 (2019; Zbl 1439.03112) Full Text: DOI arXiv
Vavpetič, Aleš; Virk, Žiga The right homotopy shift in the fundamental groups of inverse limits. (English) Zbl 1369.55010 Topology Appl. 208, 40-54 (2016). Reviewer: Jeremy Thomas Brazas (Atlanta) MSC: 55Q52 54C60 54D80 18A30 PDF BibTeX XML Cite \textit{A. Vavpetič} and \textit{Ž. Virk}, Topology Appl. 208, 40--54 (2016; Zbl 1369.55010) Full Text: DOI
Chen, Chin-Yun A performance comparison of the zero-finding by extended interval Newton method for Peano monosplines. (English) Zbl 1286.65038 Appl. Math. Comput. 219, No. 12, 6919-6930 (2013). MSC: 65D32 41A55 65D07 PDF BibTeX XML Cite \textit{C.-Y. Chen}, Appl. Math. Comput. 219, No. 12, 6919--6930 (2013; Zbl 1286.65038) Full Text: DOI
Cuesta, E. A variable step size numerical method based on fractional type quadratures for linear integro-differential equations. (English) Zbl 1183.65174 Adv. Eng. Softw. 41, No. 1, 64-69 (2010). Reviewer: Li Changpin (Logan) MSC: 65R20 45D05 45E10 PDF BibTeX XML Cite \textit{E. Cuesta}, Adv. Eng. Softw. 41, No. 1, 64--69 (2010; Zbl 1183.65174) Full Text: DOI
Chen, Chin-Yun Bivariate product cubature using peano kernels for local error estimates. (English) Zbl 1203.65050 J. Sci. Comput. 36, No. 1, 69-88 (2008). MSC: 65D30 41A55 PDF BibTeX XML Cite \textit{C.-Y. Chen}, J. Sci. Comput. 36, No. 1, 69--88 (2008; Zbl 1203.65050) Full Text: DOI
Gushev, Vesselin; Nikolov, Geno Formulae for calculation of normal probability. (English) Zbl 1137.65327 Boyanov, Todor (ed.) et al., Numerical methods and applications. 6th international conference, NMA 2006, Borovets, Bulgaria, August 20–24, 2006. Revised papers. Berlin: Springer (ISBN 978-3-540-70940-4/pbk). Lecture Notes in Computer Science 4310, 369-377 (2007). MSC: 65D20 33B20 33F05 PDF BibTeX XML Cite \textit{V. Gushev} and \textit{G. Nikolov}, Lect. Notes Comput. Sci. 4310, 369--377 (2007; Zbl 1137.65327) Full Text: DOI
Chen, Chin-Yun Verified computed Peano constants and applications in numerical quadrature. (English) Zbl 1118.65007 BIT 47, No. 2, 297-312 (2007). MSC: 65D15 41A55 65D32 65J10 47A50 65G30 PDF BibTeX XML Cite \textit{C.-Y. Chen}, BIT 47, No. 2, 297--312 (2007; Zbl 1118.65007) Full Text: DOI
Chen, Chin-Yun Computing interval enclosures for definite integrals by application of triple adaptive strategies. (English) Zbl 1100.65017 Computing 78, No. 1, 81-99 (2006); erratum ibid. 99, No. 4, 427 (2017). MSC: 65D32 65G20 65G30 41A55 PDF BibTeX XML Cite \textit{C.-Y. Chen}, Computing 78, No. 1, 81--99 (2006; Zbl 1100.65017) Full Text: DOI
Petras, Knut On Proinov’s bound for the quadrature error of functions having a given modulus of continuity. (English) Zbl 1083.41021 Anal. Math. 31, No. 1, 43-61 (2005). Reviewer: Costica Mustǎţa (Cluj-Napoca) MSC: 41A55 65D30 PDF BibTeX XML Cite \textit{K. Petras}, Anal. Math. 31, No. 1, 43--61 (2005; Zbl 1083.41021) Full Text: DOI
Ehrich, S. Pointwise error bounds for orthogonal cardinal spline approximation. (English) Zbl 1019.41007 Appl. Math. Comput. 128, No. 2-3, 237-260 (2002). MSC: 41A15 65D07 PDF BibTeX XML Cite \textit{S. Ehrich}, Appl. Math. Comput. 128, No. 2--3, 237--260 (2002; Zbl 1019.41007) Full Text: DOI
Sofo, A. Double integral inequalities based on multi-branch Peano kernels. (English) Zbl 0999.26018 Math. Inequal. Appl. 5, No. 3, 491-503 (2002). MSC: 26D15 41A55 65D32 PDF BibTeX XML Cite \textit{A. Sofo}, Math. Inequal. Appl. 5, No. 3, 491--503 (2002; Zbl 0999.26018) Full Text: DOI
Cerone, Pietro Product branched Peano kernels and numerical integration. (English) Zbl 1003.26015 Dragomir, Sever S. (ed.) et al., Ostrowski type inequalities and applications in numerical integration. Dordrecht: Kluwer Academic Publishers. 251-284 (2002). Reviewer: József Sándor (Cluj-Napoca) MSC: 26D15 41A55 65D30 65D32 PDF BibTeX XML Cite \textit{P. Cerone}, in: Ostrowski type inequalities and applications in numerical integration. Dordrecht: Kluwer Academic Publishers. 251--284 (2002; Zbl 1003.26015)
Gearhart, W. B.; Qian, Maijian Peano kernels and the Euler-Maclaurin formula. (English) Zbl 0986.41018 Far East J. Math. Sci. (FJMS) 3, No. 2, 247-271 (2001). Reviewer: R.Wegmann (Garching) MSC: 41A55 41A80 65D99 PDF BibTeX XML Cite \textit{W. B. Gearhart} and \textit{M. Qian}, Far East J. Math. Sci. (FJMS) 3, No. 2, 247--271 (2001; Zbl 0986.41018)
Ainsworth, Mark; Arnold, Mark Computable error bounds for some simple dimensionally reduced models on thin domains. (English) Zbl 1031.74055 IMA J. Numer. Anal. 21, No. 1, 81-105 (2001). MSC: 74S99 74E30 65N15 PDF BibTeX XML Cite \textit{M. Ainsworth} and \textit{M. Arnold}, IMA J. Numer. Anal. 21, No. 1, 81--105 (2001; Zbl 1031.74055) Full Text: DOI
Diethelm, K. Peano kernels of non-integer order. (English) Zbl 0880.41022 Z. Anal. Anwend. 16, No. 3, 727-738 (1997). MSC: 41A55 26A33 PDF BibTeX XML Cite \textit{K. Diethelm}, Z. Anal. Anwend. 16, No. 3, 727--738 (1997; Zbl 0880.41022) Full Text: DOI
Köhler, Peter A reduction method for linear functionals and its applications. (English) Zbl 0851.41034 Analysis 16, No. 2, 181-193 (1996). MSC: 41A80 41A55 65D30 41A15 PDF BibTeX XML Cite \textit{P. Köhler}, Analysis 16, No. 2, 181--193 (1996; Zbl 0851.41034)
Köhler, P. Asymptotically sharp error estimates for modified compound quadrature formulae for Cauchy principal value integrals. (English) Zbl 0830.41024 Computing 55, No. 3, 255-269 (1995). MSC: 41A55 65D30 PDF BibTeX XML Cite \textit{P. Köhler}, Computing 55, No. 3, 255--269 (1995; Zbl 0830.41024) Full Text: DOI
Favati, P.; Lotti, G.; Romani, F. Peano kernel behaviour and error bounds for symmetric quadrature formulas. (English) Zbl 0820.41027 Comput. Math. Appl. 29, No. 6, 27-34 (1995). MSC: 41A55 41A80 PDF BibTeX XML Cite \textit{P. Favati} et al., Comput. Math. Appl. 29, No. 6, 27--34 (1995; Zbl 0820.41027) Full Text: DOI
Petras, K. Gaussian quadrature formulae – second Peano kernels, nodes, weights and Bessel functions. (English) Zbl 0805.41029 Calcolo 30, No. 1, 1-27 (1993). MSC: 41A55 65D30 65D32 33C10 PDF BibTeX XML Cite \textit{K. Petras}, Calcolo 30, No. 1, 1--27 (1993; Zbl 0805.41029) Full Text: DOI
Brass, Helmut Error estimation for the Clenshaw-Curtis quadrature method. (English) Zbl 0779.41011 Abh. Braunschw. Wiss. Ges. 43, 45-53 (1992). Reviewer: D.Braess (Bochum) MSC: 41A55 65D30 PDF BibTeX XML Cite \textit{H. Brass}, Abh. Braunschw. Wiss. Ges. 43, 45--53 (1992; Zbl 0779.41011)
Petras, Knut One sided \(L_ 1\)-approximation and bounds for Peano kernels. (English) Zbl 0749.41027 Numerical integration. Recent developments, software and applications, Proc. NATO Adv. Res. Workshop, Bergen/Norw. 1991, NATO ASI Ser., Ser. C 357, 165-174 (1992). Reviewer: R.S.Dahiya (Ames) MSC: 41A55 PDF BibTeX XML
Solak, W.; Szydełko, Z. Quadrature rules with Gregory-Laplace end corrections. (English) Zbl 0738.65009 J. Comput. Appl. Math. 36, No. 2, 251-253 (1991). Reviewer: W.E.Smith (Kensington) MSC: 65D32 41A55 PDF BibTeX XML Cite \textit{W. Solak} and \textit{Z. Szydełko}, J. Comput. Appl. Math. 36, No. 2, 251--253 (1991; Zbl 0738.65009) Full Text: DOI
Zheludev, V. A. Representation of the approximational error term and sharp estimates for some local splines. (English. Russian original) Zbl 0732.41013 Math. Notes 48, No. 3, 911-919 (1990); translation from Mat. Zametki 48, No. 3, 54-65 (1990). Reviewer: E.Quak (Schwerte) MSC: 41A15 PDF BibTeX XML Cite \textit{V. A. Zheludev}, Math. Notes 48, No. 3, 911--919 (1990; Zbl 0732.41013); translation from Mat. Zametki 48, No. 3, 54--65 (1990) Full Text: DOI
Lenze, B.; Locher, F. Hermite-Lagrange two-point interpolation via Peano kernels. (English) Zbl 0688.41003 Result. Math. 16, No. 3-4, 253-260 (1989). Reviewer: B.Lenze MSC: 41A05 65D05 PDF BibTeX XML Cite \textit{B. Lenze} and \textit{F. Locher}, Result. Math. 16, No. 3--4, 253--260 (1989; Zbl 0688.41003) Full Text: DOI
Dubeau, François; Savoie, Jean Développements asymptotiques de fonctions splines avec partage uniforme de la droite Réelle. (Asymptotic expansions of spline functions with a uniform partition of the real axis). (French) Zbl 0687.41009 SIAM J. Numer. Anal. 26, No. 2, 468-479 (1989). Reviewer: E.Quak MSC: 41A15 PDF BibTeX XML Cite \textit{F. Dubeau} and \textit{J. Savoie}, SIAM J. Numer. Anal. 26, No. 2, 468--479 (1989; Zbl 0687.41009) Full Text: DOI
Shampine, L. F.; Zhang, W. Convergence of LMM when the solution is not smooth. (English) Zbl 0683.65053 Comput. Math. Appl. 18, No. 4, 365-372 (1989). Reviewer: A.de Castro MSC: 65L05 34A34 PDF BibTeX XML Cite \textit{L. F. Shampine} and \textit{W. Zhang}, Comput. Math. Appl. 18, No. 4, 365--372 (1989; Zbl 0683.65053) Full Text: DOI
Köhler, Peter Estimates for Sard’s best formulas for linear functionals on \(C^ s[a,b]\). (English) Zbl 0679.41019 J. Comput. Appl. Math. 28, 259-267 (1989). MSC: 41A55 41A15 41A50 PDF BibTeX XML Cite \textit{P. Köhler}, J. Comput. Appl. Math. 28, 259--267 (1989; Zbl 0679.41019) Full Text: DOI
Petras, Knut Asymptotic behaviour of Peano kernels of fixed order. (English) Zbl 0659.41022 Numerical integration III, Proc. Conf. Oberwolfach/FRG 1987, ISNM 85, 186-198 (1988). Reviewer: K.Petras MSC: 41A55 PDF BibTeX XML
Ong, Hoon-Liong Construction of triangular linear spline interpolation error functions with application to finite element error analysis. (English) Zbl 0622.41004 Kyungpook Math. J. 26, 173-186 (1986). MSC: 41A05 41A15 65D05 PDF BibTeX XML Cite \textit{H.-L. Ong}, Kyungpook Math. J. 26, 173--186 (1986; Zbl 0622.41004)
Köhler, Peter Asymptotically best quadrature formulas for integrals with a continuous weight function. (English) Zbl 0618.41021 Approximation Theory Appl. 2, No. 3, 77-97 (1986). Reviewer: P.Achuthan MSC: 41A50 41A55 PDF BibTeX XML Cite \textit{P. Köhler}, Approximation Theory Appl. 2, No. 3, 77--97 (1986; Zbl 0618.41021)
Jeltsch, Rolf; Nevanlinna, Olavi Accuracy and stability of multistage multistep formulas. (English) Zbl 0563.65049 Numer. Math. 48, 33-83 (1986). MSC: 65L05 65L20 PDF BibTeX XML Cite \textit{R. Jeltsch} and \textit{O. Nevanlinna}, Numer. Math. 48, 33--83 (1986; Zbl 0563.65049) Full Text: DOI EuDML
Holland, A. S. B.; Phillips, G. M.; Taylor, P. J. A relation between Peano kernels and a theorem of Bernstein. (English) Zbl 0578.41030 J. Approximation Theory 41, 386-389 (1984). Reviewer: W.Freeden MSC: 41A50 41A10 41A65 PDF BibTeX XML Cite \textit{A. S. B. Holland} et al., J. Approx. Theory 41, 386--389 (1984; Zbl 0578.41030) Full Text: DOI
Schneider, C. Einfache Darstellungen des Quadraturfehlers. (English) Zbl 0546.41027 Z. Angew. Math. Mech. 63, No. 5, 377-378 (1983). Reviewer: P.Achuthan MSC: 41A55 65D32 PDF BibTeX XML Cite \textit{C. Schneider}, Z. Angew. Math. Mech. 63, 377--378 (1983; Zbl 0546.41027) Full Text: DOI
Jeltsch, Rolf; Nevanlinna, Olavi Über das Erhoehen der Fehlerordnung von Mehrschrittverfahren zum Loesen von Anfangswertproblemen. (German) Zbl 0511.65065 Z. Angew. Math. Mech. 62, T332-T334 (1982). MSC: 65L20 65L05 PDF BibTeX XML Cite \textit{R. Jeltsch} and \textit{O. Nevanlinna}, Z. Angew. Math. Mech. 62, T332--T334 (1982; Zbl 0511.65065)
Jeltsch, Rolf; Nevanlinna, Olavi Stability and accuracy of time discretizations for initial value problems. (English) Zbl 0493.65038 Numer. Math. 40, 245-296 (1982). MSC: 65L20 65L05 PDF BibTeX XML Cite \textit{R. Jeltsch} and \textit{O. Nevanlinna}, Numer. Math. 40, 245--296 (1982; Zbl 0493.65038) Full Text: DOI EuDML
Jeltsch, Rolf; Nevanlinna, Olavi Lower bounds for the accuracy of linear multistep methods. (English) Zbl 0493.65037 Numerical integration of differential equations and large linear systems, Proc. Workshops, Bielefeld 1980, Lect. Notes Math. 968, 280-291 (1982). MSC: 65L20 65L05 PDF BibTeX XML