By Aleksandar Ivić (auth.), Walter Gautschi, Giuseppe Mastroianni, Themistocles M. Rassias (eds.)
Approximation conception and numerical research are important to the production of actual laptop simulations and mathematical versions. examine in those parts can effect the computational innovations utilized in quite a few mathematical and computational sciences. This selection of contributed chapters, devoted to the well known mathematician Gradimir V. Milovanović, symbolize the new paintings of specialists within the fields of approximation concept and numerical research. those invited contributions describe new tendencies in those very important components of analysis together with theoretic advancements, new computational algorithms, and multidisciplinary functions. specified gains of this quantity: - provides effects and approximation equipment in a variety of computational settings together with polynomial and orthogonal platforms, analytic features, and differential equations. - presents a old review of approximation conception and plenty of of its subdisciplines. - comprises new effects from varied parts of analysis spanning arithmetic, engineering, and the computational sciences. "Approximation and Computation" is meant for mathematicians and researchers concentrating on approximation thought and numerical research, yet is usually a important source to scholars and researchers in engineering and different computational and utilized sciences.
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Additional resources for Approximation and Computation: In Honor of Gradimir V. Milovanović
50, North-Holland, Amsterdam-New York, 1987. 31. V. M ILOVANOVI C´ : Construction of s-orthogonal polynomials and Tur´an quadrature formulae, In: Numerical methods and approximation theory III (Niˇs, 1987), pp. 311–328, Univ. Niˇs, Niˇs, 1988. 32. V. S. P ETKOVI C´ : Extremal problems for Lorentz classes of nonnegative polynomials in L2 metric with Jacobi weight, Proc. Am. Math. Soc. 102 (1988), 283–289. 33. V. A. KOVA Cˇ EVI C´ : Moment-preserving spline approximation and Tur´an quadratures, In: Numerical mathematics (Singapore, 1988), pp.
82 (1994), 244–249. 51. V. M ILOVANOVI C´ , A. G UESSAB : An estimate for coefficients of polynomials in L2 norm, Proc. Am. Math. Soc. 120 (1994), 165–171. 52. V. M. ), pp. 459–475, ISNM Vol. 119, Birkh¨auser, Basel, 1994. 53. V. T. Dimov, Bl. S. ), pp. 154–161, World Scientific, Singapore, 1994. 54. V. M ILOVANOVI C´ : Extremal problems for polynomials: old and new results, In: Proceedings Open Problems in Approximation Theory (B. ), pp. 138–155, SCT Publishing, Singapore, 1994. 55. V. M ILOVANOVI C´ : Some nonstandard types of orthogonality (A survey), Filomat 9 (1995), 517–542.
186–200, Marin Drinov Academic Publishing House, Sofia, 2004. 111. V. S. C VETKOVI C´ : Orthogonal polynomials related to the oscillatoryChebyshev weight function, Bull. Cl. Sci. Math. Nat. Sci. Math. 30 (2005), 47–60. 112. V. S. C VETKOVI C´ : Gaussian type quadrature rules for M¨untz systems, SIAM J. Sci. Comput. 27 (2005), 893–913. The Scientific Work of Gradimir V. Milovanovi´c 31 113. V. M ILOVANOVI C´ , M. S TANI C´ : Multiple orthogonality and quadratures of Gaussian type, Rend. Circ. Mat.