Pai, D. V. Well-posedness, regularization, and viscosity solutions of minimization problems. (English) Zbl 1317.49036 Ansari, Qamrul Hasan (ed.), Nonlinear analysis. Approximation theory, optimization and applications. Contributions based on the presentations at the special session on approximation theory and optimization in the Indian Mathematical Society conference, Varanasi, India, January 12–15, 2012. New Delhi: Birkhäuser/Springer (ISBN 978-81-322-1882-1/hbk; 978-81-322-1883-8/ebook). Trends in Mathematics, 135-164 (2014). MSC: 49K40 49L25 49N45 PDFBibTeX XMLCite \textit{D. V. Pai}, in: Nonlinear analysis. Approximation theory, optimization and applications. Contributions based on the presentations at the special session on approximation theory and optimization in the Indian Mathematical Society conference, Varanasi, India, January 12--15, 2012. New Delhi: Birkhäuser/Springer. 135--164 (2014; Zbl 1317.49036) Full Text: DOI
Indira, K.; Pai, Devidas Hausdorff strong uniqueness in simultaneous approximation. I. (English) Zbl 1081.41010 Chui, Charles K.(ed.) et al., Approximation theory XI. Proceedings of the 11th international conference, Gatlinburg, TN, USA, May 18–22, 2004. Brentwood, TN: Nashboro Press (ISBN 0-9728482-5-8/hbk). Modern Methods in Mathematics, 345-361 (2005). Reviewer: Daniel Cárdenas-Morales (Jaén) MSC: 41A28 41A50 41A65 PDFBibTeX XMLCite \textit{K. Indira} and \textit{D. Pai}, in: Approximation theory XI. Proceedings of the 11th international conference, Gatlinburg, TN, USA, May 18--22, 2004. Brentwood, TN: Nashboro Press. 345--361 (2005; Zbl 1081.41010)
Pai, D. V.; Indira, K. On well-posedness of some problems in approximation theory. (English) Zbl 1060.41026 Neamtu, Marian (ed.) et al., Advances in constructive approximation: Vanderbilt 2003. Proceedings of the international conference, Nashville, TN, USA, May 14–17, 2003. Brentwood, TN: Nashboro Press (ISBN 0-9728482-2-3/hbk). Modern Methods in Mathematics, 371-392 (2004). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{D. V. Pai} and \textit{K. Indira}, in: Advances in constructive approximation: Vanderbilt 2003. Proceedings of the international conference, Nashville, TN, USA, May 14--17, 2003. Brentwood, TN: Nashboro Press. 371--392 (2004; Zbl 1060.41026)
Pai, D. V. Strong unicity of order two in simultaneous approximation. (English) Zbl 1147.41005 Math. Stud. 72, No. 1-4, 113-121 (2003). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A28 41A50 41A52 PDFBibTeX XMLCite \textit{D. V. Pai}, Math. Stud. 72, No. 1--4, 113--121 (2003; Zbl 1147.41005)
Pai, D. V. On well-posedness of some problems in approximation. (English) Zbl 1116.41028 J. Indian Math. Soc., New Ser. 70, No. 1-4, 1-16 (2003). MSC: 41A50 PDFBibTeX XMLCite \textit{D. V. Pai}, J. Indian Math. Soc., New Ser. 70, No. 1--4, 1--16 (2003; Zbl 1116.41028)
Pai, D. V.; K., Indira Strong unicity in simultaneous approximation. (English) Zbl 1037.41019 Dikshit, H. P. (ed.) et al., Analysis and applications. Outcome of the conference dedicated to Professor Tribikram Pati on the occasion of his 70th birthday, Ujjain, India, 1999. New Delhi: Narosa Publishing House (ISBN 81-7319-470-X/hbk; 0-8493-1721-5/hbk). 207-219 (2002). Reviewer: Daniel Cárdenas-Morales (Jaén) MSC: 41A52 41A28 PDFBibTeX XMLCite \textit{D. V. Pai} and \textit{I. K.}, in: Analysis and applications. Outcome of the conference dedicated to Professor Tribikram Pati on the occasion of his 70th birthday, Ujjain, India, 1999. New Delhi: Narosa Publishing House; Boca Raton, FL: Chapman and Hall/CRC. 207--219 (2002; Zbl 1037.41019)
Mhaskar, Hrushikesh N.; Pai, Devidas V. Fundamentals of approximation theory. (English) Zbl 0964.41001 India: Narosa Publishing House. xv, 541 p. (2000). Reviewer: Dieter Gaier (Gießen) MSC: 41-02 PDFBibTeX XMLCite \textit{H. N. Mhaskar} and \textit{D. V. Pai}, Fundamentals of approximation theory. India: Narosa Publishing House (2000; Zbl 0964.41001)
Pai, D. V.; Nowroji, P. T. On restricted centers of sets. (English) Zbl 0738.41022 J. Approx. Theory 66, No. 2, 170-189 (1991). Reviewer: David Zarnadze (Tbilisi) MSC: 41A28 41A50 41A46 68Q25 PDFBibTeX XMLCite \textit{D. V. Pai} and \textit{P. T. Nowroji}, J. Approx. Theory 66, No. 2, 170--189 (1991; Zbl 0738.41022) Full Text: DOI
Beer, Gerald; Pai, Devidas On convergence of convex sets and relative Chebyshev centers. (English) Zbl 0733.41030 J. Approximation Theory 62, No. 2, 147-169 (1990). Reviewer: C.Mustăţa (Cluj-Napoca) MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{G. Beer} and \textit{D. Pai}, J. Approx. Theory 62, No. 2, 147--169 (1990; Zbl 0733.41030) Full Text: DOI
Pai, D. V. Optimal recovery: A selective survey. (English) Zbl 0698.41025 Optimization, design of experiments and graph theory, Proc. Symp. in Honour of Prof. M.N. Vartak, Bombay/India 1986, 406-416 (1988). Reviewer: D.V.Pai MSC: 41A50 41A65 65D99 PDFBibTeX XML
Pai, D. V. Abstract minimization problems, restricted centers and fixed points. (English) Zbl 0607.41023 Methods of functional analysis in approximation theory, Proc. Int. Conf., Bombay 1985, ISNM 76, 231-244 (1986). Reviewer: V.Răsvan MSC: 41A50 41A65 47H10 49L99 PDFBibTeX XML
Govindarajulu, P.; Pai, D. V. On solar properties of sets and radial continuity of set-valued f- projections. (English) Zbl 0601.41037 Indian J. Pure Appl. Math. 17, 360-366 (1986). Reviewer: C.G.Lascarides MSC: 41A65 41A50 54C60 PDFBibTeX XMLCite \textit{P. Govindarajulu} and \textit{D. V. Pai}, Indian J. Pure Appl. Math. 17, 360--366 (1986; Zbl 0601.41037)
Naimpally, S. A.; Pai, D. V. Best weighted approximation of vector-valued functions. (English) Zbl 0606.41033 Approximation theory and applications, Proc. Int. Conf. 75th Birthday G. G. Lorentz, St. John’s/Newfoundland 1984, Res. Notes Math. 133, 140-158 (1985). Reviewer: M.Nashed MSC: 41A50 41A65 PDFBibTeX XML
Pai, D. V.; Govindarajulu, P. On set-valued f-projections and f-farthest point mappings. (English) Zbl 0561.41026 J. Approximation Theory 42, 4-13 (1984). MSC: 41A65 41A50 PDFBibTeX XMLCite \textit{D. V. Pai} and \textit{P. Govindarajulu}, J. Approx. Theory 42, 4--13 (1984; Zbl 0561.41026) Full Text: DOI
Govindarajulu, P.; Pai, D. V. On f-farthest points of sets. (English) Zbl 0545.41044 Indian J. Pure Appl. Math. 14, 873-882 (1983). Reviewer: M.Nashed MSC: 41A65 41A50 47H99 PDFBibTeX XMLCite \textit{P. Govindarajulu} and \textit{D. V. Pai}, Indian J. Pure Appl. Math. 14, 873--882 (1983; Zbl 0545.41044)
Pai, D. V.; Veeramani, P. Applications of fixed point theorems to problems in optimization and best approximation. (English) Zbl 0508.47057 Nonlinear analysis and applications, Proc. int. Conf., St. John’s/Newfoundland 1981, Lect. Notes Pure Appl. Math. 80, 393-400 (1982). MSC: 47H10 41A50 PDFBibTeX XML
Pai, D. V.; Govindarajulu, P. On f-proximal points of pairs of sets. (English) Zbl 0464.41024 Optimizing methods in statistics, Proc. int. Conf., Bombay 1977, 367-384 (1979). MSC: 41A65 41A50 49K99 49M99 65K10 PDFBibTeX XML
Pai, D. V. A characterization of smooth normed linear spaces. (English) Zbl 0331.41026 J. Approximation Theory 17, 315-320 (1976). MSC: 41A65 41A50 PDFBibTeX XMLCite \textit{D. V. Pai}, J. Approx. Theory 17, 315--320 (1976; Zbl 0331.41026) Full Text: DOI
Pai, Devidas Multioptimum d’une fonctionnelle convexe sur des ensembles réguliers. (French) Zbl 0321.41021 C. R. Acad. Sci., Paris, Sér. A 280, 1673-1676 (1975). MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{D. Pai}, C. R. Acad. Sci., Paris, Sér. A 280, 1673--1676 (1975; Zbl 0321.41021)
Pai, Devidas Multi-optimum d’une fonctionnelle convexe sur des ensembles réguliers. (French) Zbl 0305.41017 C. R. Acad. Sci., Paris, Sér. A 280, 1185-1188 (1975). MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{D. Pai}, C. R. Acad. Sci., Paris, Sér. A 280, 1185--1188 (1975; Zbl 0305.41017)
Pai, D. V. Proximal points of convex sets in normed linear spaces. (English) Zbl 0295.41017 Yokohama Math. J. 22, 53-78 (1974). MSC: 41A65 46B15 46B99 41A50 PDFBibTeX XMLCite \textit{D. V. Pai}, Yokohama Math. J. 22, 53--78 (1974; Zbl 0295.41017)
Pai, D. V. Uniform weight-function approximation of functions with values in Hilbert space. (English) Zbl 0266.41017 Publ. Inst. Math., Nouv. Sér. 14(28), 115-122 (1972). MSC: 41A50 PDFBibTeX XMLCite \textit{D. V. Pai}, Publ. Inst. Math., Nouv. Sér. 14(28), 115--122 (1972; Zbl 0266.41017) Full Text: EuDML
Pai, D. V. Uniform approximation of vector-valued functions using a weight functions. (English) Zbl 0247.41027 Yokohama Math. J. 20, 35-44 (1972). MSC: 41A50 41A63 41A65 PDFBibTeX XMLCite \textit{D. V. Pai}, Yokohama Math. J. 20, 35--44 (1972; Zbl 0247.41027)