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Publications

Curriculum Vitae

Costica Mustata
Publications

Books

  1. C. Mustata, M. Barbosu, Algebra, analytic geometry and tensorial calculus. Editura Dacia, Cluj-Napoca, Chapters I and II, pag. 9-127, 2000.

Articles

  1. Mustata, C., On the Chebyshev subspaces in normal space of Lipschitz functions (in Romanian), Rev. Anal. Num. Theor. Approx. 2 (1973), 81-87 (MR 52 # 8758).
  2. Mustata, C., On the uniqueness of the extension of continuous p-seminorms, (in Romanian) Rev. Anal. Num. Theor. Approx. 2 (1973) 2, 173-177 (MR 53 # 8759) .
  3. Mustata, C., Lupu, Gh., Consideration on the ''equilibrium'' electrons distribution function for a homogeneous high frequency, fully ionized plasma, Rev. Roumaine de Physique 18 (1973) 3, 365-372.
  4. Mustata, C., A classification of Lipschitz functions (in Romanian), Rev. Anal. Num. Theor. Approx. 3 (1974) 1, 107-111 (MR 52 #670).
  5. Mustata, C., A monotony property of the best approximation operator in the space of Lipschitz functions (in Romanian), Rev. Anal. Num. Theor. Approx. 3 (1974) 2, 153-160 (MR57 # 6945).
  6. Mustata, C., On the Best Approximation in Metric Spaces, Mathematica - Revue Anal. Num. Theor. Approx., L'Analyse Num. et de Théorie de l'Approximation 4 (1975) 1, 45-50 (MR # 82c: 46052).
  7. Mustata, C., A Characterization of Chebyshevian Subspaces of annihilator - type}, Mathematica - Rev. Anal. Numér. Théor. Approx., L'Analyse Numérique et la Théorie de l'Approx. 6 (1977) 1, 51-56 (MR 58 # 29722).
  8. Mustata, C., Norm Preserving Extension of Starshaped Lipschitz Functions, Mathematica 19 (42) 2 (1977), 183-187 (MR # 80c: 46031).
  9. Mustata, C., Best Approximation and Unique Extension of Lipschitz Functions, Journal of Approx. Theory 19, 3 (1977), 222-230 (MR 55 # 6086).
  10. Mustata, C., A Characterization of Semichebyshevian Sets in a Metric Space, Mathematica - Revue Anal. Num. Theor. Approx., L'Analyse Numérique Théor. Approx. 7 (1978) 2, 169-170 (MR # 80g: 41014).
  11. Mustata, C., Cobzas, St., Norm Preserving Extension of Convex Lipschitz Functions, Journal of Approx. Theory 24, 3 (1978), 238-244 (MR # 82j: 41034).
  12. Mustata, C., The Extension of Starshaped Bounded Lipschitz Functions, L'Analyse Num. Théorie de l'Approx. 9 (1980) 1, 93-99.
  13. Mustata, C., On the uniqueness of the extension of real Hölder functions (in Romanian), Sem. Itinerant de Ecuatii Functionale, Aproximare si Convexitate, 1980, Cluj-Napoca, 91-96.
  14. Mustata, C., Extension of Bounded Lipschitz Functions and Some Related Problems of Best Approximation, Seminar of Functional Analysis and Numerical Methods, Preprint Nr.1 (1980), 1-22 (MR # 84h: 54017).
  15. Mustata, C., On the Extension Problem with Prescribed Norm, Seminar Funct. Anal. and Num. Methods, Preprint Nr.4 (1981), 93-99 (MR # 84f: 46027).
  16. Mustata, C., About the Determination of Extremes of Hölder Functions, Seminar of Functional Analysis and Numerical Methods, Preprint Nr.1 (1983), 107-116.
  17. Mustata, C., On a Surjectivity Theorem, Seminar of Functional Analysis and Numerical Methods, Preprint Nr.1, (1985), 73-84 (MR # 832505).
  18. Mustata, C., On the Extension of Hölder Functions, Seminar of Functional Analysis and Numerical Methods, Preprint Nr.1 (1985), 85-92 (MR # 87h: 46068).
  19. Mustata, C., On the Extension of Lipschitz Functions, Seminar of Funct. Analysis and Numerical Methods, Preprint Nr.1 (1986), 83-92.
  20. Mustata, C., On the Uniqueness of Extension of Lipschitz Odd Functions, ''Babes-Bolyai'' University, Seminar on Optimization Theory, Report Nr.8 (1987), 75-80 (MR # 90c: 41069).
  21. Mustata, C., On the Exactity of the Error Evaluation in the Approximation by Cubic Spline of Interpolation, ''Babes-Bolyai'' University, Faculty of Math. and Physics, Research Seminars, Seminar on Functional Analysis and Numerical Methods, Preprint Nr.1 (1987), 93-102 (MR # 977080).
  22. Mustata, C., Iancu, C., Error Estimation in the Approximation of Function by Interpolation Cubic Splines, Mathematica 29 (52) 1 (1987), 33-39 (MR # 89f: 41012).
  23. Mustata, C., M - ideals in Metric Spaces, ''Babes-Bolyai'' University, Faculty of Math. and Physics, Research Seminars, Seminar on Mathematica Analysis, Preprint Nr.7 (1988), 67-74 (MR # 90b: 54019).
  24. Mustata, C., Andrica, D., An Abstract Korovkin Type Theorem and Applications, Studia Univ. ''Babes-Bolyai'' XXXIV, fasc. 2 (1989), 44-41 (MR # 91j: 41043).
  25. Mustata, C., An Applications of a Theorem of Mc Shane, Seminar on Functional Analysis and Numerical Methods, Preprint Nr.1, (1989), 75-84 (MR # 91j: 54024).
  26. Mustata, C., Extension of Hölder Functions and Some Related Problems of Best Approximation, ''Babes-Bolyai'' Univ., Research Seminars, Seminar on Mathematical Analysis, Preprint nr.7 (1991), 71-86 (MR # 94f: 41038).
  27. Mustata, C., On a Problem of Extremum, ''Babes-Bolyai'' Univ., Research Seminars, Seminar on Mathematical Analysis, Preprint nr.7 (1991), 87-93 (MR # 94a: 26007).
  28. Mustata, C., Selections Associated to Mc Shane's Extension Theorem for Lipschitz Functions, Revue d'Analyse Numérique et de Théorie de l'Approximation 21 (1992) 2, 135-145 (MR # 94h: 46008).
  29. Mustata, C., On a contest problem (in Romanian), Lucrarile Seminarului ''Didactica Matematicii'', vol.8 (1992), 123-128.
  30. Mustata, C., Selections with Values Bernstein Polynomials Associated to the Extension Operator for Lipschitz Functions, Revue d'Analyse Numérique et de Théorie de l'Approximation 22 (1993) 2, 207-216 (MR # 96k: 41047).
  31. Mustata, C., Common Selections for the Metric Projections, Mathematica 35 (58) (1993) 2, 193-200 (MR # 96b: 46018).
  32. Mustata, C., On the Selections Associated to the Metric Projection, Revue d'Analyse Numérique et de Théorie de l'Approximation 23 (1994) 1, 89-93 (MR # 96b: 46019).
  33. Mustata, C., Cobzas, St., Selections associated to the metric projection, Revue d'Analyse Numérique et de Théorie de l'Approximation, Tome 24, No 1-2 (1995), 45-52.
  34. Mustata, C., On the metric projection and the quotient mapping, Revue d'Analyse Numérique et de Théorie de l'Approximation, Tome 24, No 1-2 (1995), 191-199.
  35. Mustata, C., Extension of Bilinear Operators and Best Approximation in 2-normed Spaces, Revue d'Analyse Numérique et de Théorie de l'Approximation, Tome 25, No 1-2 (1996), 63-75 (în colaborare cu St. Cobzas).
  36. Mustata, C., Approximation by spline Functions of the Solutions of a Linear Bilocal Problem, Revue d'Analyse Numérique et de Théorie de l'Approximation 26 (1997) 1-2. 137-148.
  37. Mustata, C., A. Muresan si R. Mustata, The approximation by spline functions of the solutions of a singularly perturbed bilocal problem, Revue d'Analyse Numérique et de Théorie de l'Approximation 27 (1998).
  38. Mustata, C., Cobzas, St., Extension of bilinear functionals and best approximation in 2 - normed space, Studia Univ. ''Babes-Bolyai'', Seria Mathematica, XLIII, Nr.2 (1998), 1-13.
  39. Mustata, C., On the derivative-interpolating spline functions of even degree, Bull. St. Univ. Baia Mare, Vol. XIV, Nr.1 (1998) 51-58.
  40. Mustata, C., On a Problem of B.A. Karpilovskaya, Revue d'Analyse Numérique et de Théorie de l'Approximation 29 (1999) Nr.2 .
  41. Mustata, C., The Approximation by Spline Functions of the Solution of a Polylocal Problem for a Differential Equation of Order p, ''Conference on Analysis, Functional Equations, Approximation and Convexity'', Cluj-Napoca, October 15-16, (1999), 197-201.
  42. Mustata, C., Cobzas, St., Extension of Lipschitz Functions and Best Approximation, in ''Research on Theory of Allure, Approximation, Convexity and Optimization, SRIMA, Cluj-Napoca, (1999), 3-21.
  43. Mustata, C., Some remarks concerning norm preserving extension and best approximation, Rev. Anal. Numer. Theor. Approx., 29 (2000) No.2, pp.173-180.
  44. Mustata, C., Uniqueness of Extension of Semi-Lipschitz Functions on Quasi-Metric spaces, Bul. Stiint. Univ. Baia Mare, Vol. XVI, No. 2 (2000).
  45. Mustata, C., Extension of Semi Lipschitz function on Quasi-Metric spaces, Rev. Anal. Numer. Theor. Approx. 30 (2001) nr. 1, 61-67.
  46. Mustata, C., Extension of Starshaped Bounded Semi-Lipschitz function on a Quasi Metric Linear Spaces. ''135-th Pannonian Applied Mathematical Meeting'' 4-7 oct. 2001, 285-291.
  47. Mustata, C., Extension of convex semi-Lipschitz Functions on quasi-metric Linear Spaces, Seminaire de la Théorie de la Meilleure Approximation, Convexité et Optimization, Cluj-Napoca, 29 November 2001, 85-92.
  48. Mustata, C., Muresan A., A Galerkin Methods for a singularly perturbed bilocal problem, Bull. St. Univ. Baia Mare, XV, 1-2 (1999), 89-102.
  49. Mustata, C., Extension and Approximation of semi-Lipschitz Functions on quasi-metric linear spaces, Proceedings of the International Symposium on Numerical Analysis and Approximation Theory 9-11 May 2002, 362-385.
  50. Mustata, C., On the extremal semi-Lipschitz function, Rev. Anal. Numer. Theor. Approx. 31 (2002) Nr.1, 103-108.
  51. Mustata, C., A Phelps type result for spaces with asymmetric norms, Bul. St. Univ. Baia Mare, XVIII, Serie B (2002) No.2, 275-280
  52. Mustata, C., On the uniqueness of extension and unique best approximation in the dual of an asymmetric normed linear space, Rev. Anal. Numer. Theor. Approx. 32 (2003) Nr.2, 187-192.
  53. Costica Mustata and St. Cobzas, Extension of bounded linear functionals and best approximation in space with asymmetric norm, Rev. Anal. Numer. Theor. Approx.. 33, No.1 (2004), 39-50.
  54. Costica Mustata, Characterization of ε-nearest points in space with asymmetric seminorm, Rev. Anal. Numer. Theorie Approx. 33, No.2 (2004), 203-208.
  55. Costica Mustata, On the characterization of generalized nearest point, Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Connexity, vol. 2 (2004), 65-74.
  56. C. Mustata, On the extension of semi-Lipschitz functions on asymmetric normed spaces, Rev. Anal. Numer. Theor. Approx. 34 (2005) no.2 , 139-150.
  57. S. Cobzas, C. Mustata, Best approximation in spaces with asymmetric norm, Rev. Anal. Numer. Theor. Approx. 35, nr.1 (2006), 17-31.
  58. C. Mustata, On the converses of the reduction principle in inner product spaces, Studia Univ. Babes-Bolyai, Mathematica, vol LI, nr.3 (2006), 97-104.
  59. C. Mustata, Best Uniform Approximation of semi-Lipschitz function by extension, ANTA 36 (2), pp. 161-171 (2007).
  60. C. Mustata, Extension and approximation of semi-Lipschitz functions, Annals Univ. De Vest Timisoara, Seria Matematica-Informatica XLV, 2(2007), 83-92.
  61. C. Mustata, Best Uniform Approximation of a Bounded Function by Extensions of Semi-Lipschitz Functions, Annals of the Tiberiu Popoviciu Seminar of Functional Equations Approximation and Convexity, vol. 5, 2007, 87-98.
  62. Mustăţa C., On a theorem of Baire about lower semi-continuous functions, Rev. Anal. Numer. Theor. Approx. 37, no.1 (2008), 71-75.
  63. Mustăţa C., Asupra extensiei şi aproximării funcţiilor semi-Lipschitz reale, Seminarul Tiberiu Popoviciu de Ecuaţii Funcţionale, Aproximare şi convexitate, 24 - 27 septembrie 2008, Cluj-Napoca, pp.25-29.
  64. C. Mustata, On the approximation of the global extremum of a semi-Lipschitz function, Mediterr. J. Math. 6 (2009), pp. 169-180.
  65. C. Mustata, Extensions of semi-Holder real valued functions on a quasi-metric space, Rev. Anal. Numer. Theor. Approx., 38 (2009), no. 2, pp. 49-56.
  66. C. Mustata, On the shape preserving extensions of a semi-Holder function, Rev. Anal. Numer. Theor. Approx., v. 39 (2010) no. 2, 153-160.

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