Junghanns, Peter; Mastroianni, Giuseppe; Notarangelo, Incoronata Weighted polynomial approximation and numerical methods for integral equations. (English) Zbl 07359786 Pathways in Mathematics. Cham: Birkhäuser (ISBN 978-3-030-77496-7/hbk; 978-3-030-77499-8/pbk; 978-3-030-77497-4/ebook). x, 658 p. (2021). Reviewer: Eduardo Cuesta (Valladolid) MSC: 65-02 65D32 65R20 41A10 41A81 45B05 45E05 45N05 41A05 41A65 45G05 45H05 PDFBibTeX XMLCite \textit{P. Junghanns} et al., Weighted polynomial approximation and numerical methods for integral equations. Cham: Birkhäuser (2021; Zbl 07359786) Full Text: DOI
Della Vecchia, B.; Mastroianni, G.; Szabados, J. Generalized Bernstein polynomials with Pollaczek weight. (English) Zbl 1180.41018 J. Approx. Theory 159, No. 2, 180-196 (2009). Reviewer: Vijay Gupta (New Delhi) MSC: 41A35 PDFBibTeX XMLCite \textit{B. Della Vecchia} et al., J. Approx. Theory 159, No. 2, 180--196 (2009; Zbl 1180.41018) Full Text: DOI
Della Vecchia, B.; Mastroianni, G.; Szabados, J. A converse result for approximation by a weighted Szász-Mirakyan operator. (English) Zbl 1174.41016 Acta Math. Hung. 118, No. 4, 319-336 (2008). Reviewer: Boris I. Golubov (Dolgoprudny) MSC: 41A35 41A25 PDFBibTeX XMLCite \textit{B. Della Vecchia} et al., Acta Math. Hung. 118, No. 4, 319--336 (2008; Zbl 1174.41016) Full Text: DOI
Della Vecchia, B.; Mastroianni, G.; Szabados, J. Weighted approximation of functions by Szász-Mirakyan-type operators. (English) Zbl 1174.41327 Acta Math. Hung. 111, No. 4, 325-345 (2006). MSC: 41A35 41A25 PDFBibTeX XMLCite \textit{B. Della Vecchia} et al., Acta Math. Hung. 111, No. 4, 325--345 (2006; Zbl 1174.41327) Full Text: DOI
Mastroianni, Giuseppe; Occorsio, Donatella Fourier sums in Sonin-Markov polynomials. (English) Zbl 1151.41301 Proceedings of the fifth international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, June 16–23, 2004. Palermo: Circolo Matemàtico di Palermo. Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 76, 469-485 (2005). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A10 41A65 41A36 43A50 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{D. Occorsio}, Suppl. Rend. Circ. Mat. Palermo (2) 76, 469--485 (2005; Zbl 1151.41301)
Occorsio, Donatella; Mastroianni, Giuseppe An extension of Bernstein polynomials on the semi-axis. (English) Zbl 1167.41302 Mediterr. J. Math. 2, No. 1, 1-18 (2005). MSC: 41A10 41A36 41A25 PDFBibTeX XMLCite \textit{D. Occorsio} and \textit{G. Mastroianni}, Mediterr. J. Math. 2, No. 1, 1--18 (2005; Zbl 1167.41302) Full Text: DOI
Della Vecchia, B.; Mastroianni, G.; Szabados, J. Weighted approximation of functions on the real line by Bernstein polynomials. (English) Zbl 1065.41039 J. Approximation Theory 127, No. 2, 223-239 (2004). Reviewer: Dany Leviatan (Tel Aviv) MSC: 41A36 41A25 41A10 PDFBibTeX XMLCite \textit{B. Della Vecchia} et al., J. Approx. Theory 127, No. 2, 223--239 (2004; Zbl 1065.41039) Full Text: DOI
Della Vecchia, Biancamaria; Mastroianni, Giuseppe; Szabados, Jozsef Weighted approximation of functions with inner singularities by exponential weights in \([-1,1]\). (English) Zbl 1051.41015 Numer. Funct. Anal. Optimization 24, No. 1-2, 181-194 (2003). Reviewer: Boris I. Golubov (Dolgoprudny) MSC: 41A36 41A05 PDFBibTeX XMLCite \textit{B. Della Vecchia} et al., Numer. Funct. Anal. Optim. 24, No. 1--2, 181--194 (2003; Zbl 1051.41015) Full Text: DOI
Della Vecchia, B.; Mastroianni, G.; Szabados, J. Approximation with exponential weights in \([-1,1]\). (English) Zbl 1012.41018 J. Math. Anal. Appl. 272, No. 1, 1-18 (2002). Reviewer: Dany Leviatan (Tel Aviv) MSC: 41A25 41A36 41A30 PDFBibTeX XMLCite \textit{B. Della Vecchia} et al., J. Math. Anal. Appl. 272, No. 1, 1--18 (2002; Zbl 1012.41018) Full Text: DOI
Mastroianni, G.; Russo, M. G.; Themistoclakis, W. The boundedness of the Cauchy singular integral operator in weighted Besov type spaces with uniform norms. (English) Zbl 1004.45011 Integral Equations Oper. Theory 42, No. 1, 57-89 (2002). Reviewer: Michael I.Gil’ (Beer-Sheva) MSC: 45P05 65R20 45E05 41A10 PDFBibTeX XMLCite \textit{G. Mastroianni} et al., Integral Equations Oper. Theory 42, No. 1, 57--89 (2002; Zbl 1004.45011) Full Text: DOI
Luther, Uwe; Mastroianni, Giuseppe Fourier projections in weighted \(L^\infty\)-spaces. (English) Zbl 1001.42014 Elschner, J. (ed.) et al., Problems and methods in mathematical physics. The Siegfried Prössdorf memorial volume. Proceedings of the 11th TMP conference, Chemnitz, Germany, March 25-28, 1999. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 121, 327-351 (2001). MSC: 42C10 33C45 41A25 46E30 47B38 PDFBibTeX XMLCite \textit{U. Luther} and \textit{G. Mastroianni}, in: Problems and methods in mathematical physics. The Siegfried Prössdorf memorial volume. Proceedings of the 11th TMP conference, Chemnitz, Germany, March 25--28, 1999. Basel: Birkhäuser. 327--351 (2001; Zbl 1001.42014)
Bojanic, R.; Della Vecchia, B.; Mastroianni, G. On the approximation of bounded functions with discontinuities of the first kind by generalized Shepard operators. (English) Zbl 0987.41010 Acta Math. Hung. 85, No. 1-2, 29-57 (1999). Reviewer: Ion Rasa (Cluj Napoca) MSC: 41A36 PDFBibTeX XMLCite \textit{R. Bojanic} et al., Acta Math. Hung. 85, No. 1--2, 29--57 (1999; Zbl 0987.41010) Full Text: DOI
Della Vecchia, B.; Mastroianni, G.; Szabados, J. Weighted uniform approximation on the semiaxis by rational operators. (English) Zbl 0951.41008 J. Inequal. Appl. 4, No. 3, 241-264 (1999). Reviewer: J.M.Almira (Linares/Jaén) MSC: 41A36 41A20 41A25 41A17 PDFBibTeX XMLCite \textit{B. Della Vecchia} et al., J. Inequal. Appl. 4, No. 3, 241--264 (1999; Zbl 0951.41008) Full Text: DOI EuDML
Della Vecchia, B.; Mastroianni, G.; Szabados, J. Rational approximation on the semi-axis. (English) Zbl 0932.41018 East J. Approx. 4, No. 4, 435-458 (1998). Reviewer: P.Petrov (Sofia) MSC: 41A35 41A17 41A40 PDFBibTeX XMLCite \textit{B. Della Vecchia} et al., East J. Approx. 4, No. 4, 435--458 (1998; Zbl 0932.41018)
Capobianco, Maria Rosaria; Mastroianni, Giuseppe Uniform boundedness of Lagrange operator in some weighted Sobolev-type space. (English) Zbl 0884.41003 Math. Nachr. 187, 61-77 (1997). Reviewer: J.Illán González (Vigo) MSC: 41A05 41A25 41A35 PDFBibTeX XMLCite \textit{M. R. Capobianco} and \textit{G. Mastroianni}, Math. Nachr. 187, 61--77 (1997; Zbl 0884.41003) Full Text: DOI
Mastroianni, G.; Szabados, J. Balázs-Shepard operators on infinite intervals. II. (English) Zbl 0877.41015 J. Approximation Theory 90, No. 1, 1-8 (1997). Reviewer: J.Müller (Trier) MSC: 41A20 41A35 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{J. Szabados}, J. Approx. Theory 90, No. 1, 1--8 (1997; Zbl 0877.41015) Full Text: DOI
Della Vecchia, B.; Mastroianni, G.; Vértesi, P. Direct and converse theorems for Shepard rational approximation. (English) Zbl 0861.41016 Numer. Funct. Anal. Optimization 17, No. 5-6, 537-561 (1996). Reviewer: S.M.Mazhar (Kuwait) MSC: 41A36 41A25 PDFBibTeX XMLCite \textit{B. Della Vecchia} et al., Numer. Funct. Anal. Optim. 17, No. 5--6, 537--561 (1996; Zbl 0861.41016) Full Text: DOI
Mastroianni, G.; Szabados, J. On Bernstein-Markov inequalities for \(n\)-convex functions. (English) Zbl 0872.26006 Mathematica 38(61), No. 1-2, 141-148 (1996). Reviewer: I.Raşa (Cluj-Napoca) MSC: 26D10 26A51 41A17 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{J. Szabados}, Mathematica 38(61), No. 1--2, 141--148 (1996; Zbl 0872.26006)
Della Vecchia, B.; Mastroianni, G. On functions approximation by Shepard-type operators. A survey. (English) Zbl 0849.41006 Singh, S. P. (ed.) et al., Approximation theory, wavelets and applications. Proceedings of the NATO Advanced Study Institute on recent developments in approximation theory, wavelets and applications, Maratea, Italy, May 16-26, 1994. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 454, 335-346 (1995). Reviewer: M.W.Müller (Dortmund) MSC: 41A20 41A35 PDFBibTeX XMLCite \textit{B. Della Vecchia} and \textit{G. Mastroianni}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 454, 335--346 (1995; Zbl 0849.41006)
della Vecchia, Biancamaria; Mastroianni, Giuseppe Rational approximation in uniform and weighted \(L^ 1\) norm. (English) Zbl 0816.41015 J. Comput. Appl. Math. 53, No. 3, 333-339 (1994). Reviewer: M.G.de Bruin (Delft) MSC: 41A20 PDFBibTeX XMLCite \textit{B. della Vecchia} and \textit{G. Mastroianni}, J. Comput. Appl. Math. 53, No. 3, 333--339 (1994; Zbl 0816.41015) Full Text: DOI
Criscuolo, Giuliana; Mastroianni, G. Estimates of the Shepard interpolatory procedure. (English) Zbl 0918.41008 Acta Math. Hung. 61, No. 1-2, 79-91 (1993). Reviewer: J.Szabados (MR 94a:41006) MSC: 41A05 41A25 PDFBibTeX XMLCite \textit{G. Criscuolo} and \textit{G. Mastroianni}, Acta Math. Hung. 61, No. 1--2, 79--91 (1993; Zbl 0918.41008) Full Text: DOI
Della Vecchia, B.; Mastroianni, G. A Nevai-Shepard type operator. (English) Zbl 0766.41022 Atti Semin. Mat. Fis. Univ. Modena 39, No. 2, 537-549 (1991). Reviewer: M.W.Müller (Dortmund) MSC: 41A36 41A28 PDFBibTeX XMLCite \textit{B. Della Vecchia} and \textit{G. Mastroianni}, Atti Semin. Mat. Fis. Univ. Modena 39, No. 2, 537--549 (1991; Zbl 0766.41022)
Della Vecchia, B.; Mastroianni, G. Pointwise estimates of rational operators based on general distributions of knots. (English) Zbl 0770.41016 Facta Univ., Ser. Math. Inf. 6, 63-72 (1991). MSC: 41A20 PDFBibTeX XMLCite \textit{B. Della Vecchia} and \textit{G. Mastroianni}, Facta Univ., Ser. Math. Inf. 6, 63--72 (1991; Zbl 0770.41016)
Della Vecchia, B.; Mastroianni, G. Pointwise simultaneous approximation by rational operators. (English) Zbl 0736.41022 J. Approximation Theory 65, No. 2, 140-150 (1991). Reviewer: I.Raşa (Cluj-Napoca) MSC: 41A20 41A28 41A36 PDFBibTeX XMLCite \textit{B. Della Vecchia} and \textit{G. Mastroianni}, J. Approx. Theory 65, No. 2, 140--150 (1991; Zbl 0736.41022) Full Text: DOI
Della Vecchia, B.; Mastroianni, G.; Totik, V. Saturation of the Shepard operators. (English) Zbl 0724.41020 Approximation Theory Appl. 6, No. 4, 76-84 (1990). MSC: 41A40 41A36 PDFBibTeX XMLCite \textit{B. Della Vecchia} et al., Approximation Theory Appl. 6, No. 4, 76--84 (1990; Zbl 0724.41020)
Criscuolo, G.; Mastroianni, G.; Nevai, P. Some convergence estimates of a linear positive operator. (English) Zbl 0706.41016 Approximation theory VI, Proc. 6th Int. Symp., College Station/TX (USA) 1989, Vol. I, 153-156 (1989). MSC: 41A36 41A25 PDFBibTeX XML
Mastroianni, G.; Occorsio, M. R. A new operator of Bernstein type. (English) Zbl 0621.41017 Math., Rev. Anal. Numér. Théor. Approximation, Anal. Numér. Théor. Approximation 16, 55-63 (1987). MSC: 41A36 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{M. R. Occorsio}, Math. Rev. Anal. Numér. Théor. Approximation, Anal. Numér. Théor. Approximation 16, 55--63 (1987; Zbl 0621.41017)
Mastroianni, Giuseppe On the moments of a linear positive operator and some asymptotic type theorems. (Italian. English summary) Zbl 0608.41012 Riv. Mat. Univ. Parma, IV. Ser. 11, 1-13 (1985). MSC: 41A36 41A60 PDFBibTeX XMLCite \textit{G. Mastroianni}, Riv. Mat. Univ. Parma, IV. Ser. 11, 1--13 (1985; Zbl 0608.41012)
Mastroianni, Giuseppe A generalization of the Mirakyan operator. (Italian) Zbl 0525.41021 Rend. Accad. Sci. Fis. Mat., IV. Ser., Napoli 48, 237-252 (1981). MSC: 41A36 PDFBibTeX XMLCite \textit{G. Mastroianni}, Rend. Accad. Sci. Fis. Mat., IV. Ser., Napoli 48, 237--252 (1981; Zbl 0525.41021)
Mastroianni, Giuseppe On a class of linear and positive operators. (Italian) Zbl 0525.41020 Rend. Accad. Sci. Fis. Mat., IV. Ser., Napoli 48, 217-235 (1981). MSC: 41A36 PDFBibTeX XMLCite \textit{G. Mastroianni}, Rend. Accad. Sci. Fis. Mat., IV. Ser., Napoli 48, 217--235 (1981; Zbl 0525.41020)
Mastroianni, Giuseppe Su un operatore lineare e positivo. (Italian) Zbl 0452.41018 Rend. Accad. Sci. Fis. Mat., IV. Ser., Napoli 46, 161-176 (1979). MSC: 41A36 41A25 PDFBibTeX XMLCite \textit{G. Mastroianni}, Rend. Accad. Sci. Fis. Mat., IV. Ser., Napoli 46, 161--176 (1979; Zbl 0452.41018)
Mastroianni, Giuseppe; Occorsio, Mario Rosario Una generalizzazione dell’operatore di Stancu. (Italian) Zbl 0443.41003 Rend. Accad. Sci. Fis. Mat., IV. Ser., Napoli 45, 495-511 (1978). MSC: 41A10 41A36 41A55 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{M. R. Occorsio}, Rend. Accad. Sci. Fis. Mat., IV. Ser., Napoli 45, 495--511 (1978; Zbl 0443.41003)
Mastroianni, Giuseppe; Occorsio, Mario Rosario Sulle derivate dei polinomi di Stancu. (Italian) Zbl 0443.41002 Rend. Accad. Sci. Fis. Mat., IV. Ser., Napoli 45, 273-281 (1978). MSC: 41A10 41A36 40A05 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{M. R. Occorsio}, Rend. Accad. Sci. Fis. Mat., IV. Ser., Napoli 45, 273--281 (1978; Zbl 0443.41002)
Mastroianni, Giuseppe; Occorsio, Mario Rosario Una generalizzazione dell’operatore di Bernstein. (Italian) Zbl 0391.41007 Rend. Accad. Sci. Fis. Mat., IV. Ser., Napoli 44(1977), 151-156 (1978). MSC: 41A35 41A25 41A10 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{M. R. Occorsio}, Rend. Accad. Sci. Fis. Mat., IV. Ser., Napoli 44, 151--156 (1978; Zbl 0391.41007)
Mastroianni, G. Sull’approssimazione di funzioni continue mediante operatori lineari. (Italian) Zbl 0367.41011 Calcolo 14, 343-368 (1978). MSC: 41A35 PDFBibTeX XMLCite \textit{G. Mastroianni}, Calcolo 14, 343--368 (1978; Zbl 0367.41011) Full Text: DOI