COMONOTONE APPROXIMATION IN LINEAR 2-NORMED SPACES

키워드

참고문헌 (52)

1. Acikgoz, M., "A review on 2-normed spaces", Int. Journal Mathematical Analysis, (4), pp.187~191 (2007)
2. Acikgoz, M., "ε-approximation in generalized 2-normed spaces", Matematicki Vesnik, 61(2), pp.159~163 (2009)
3. Acikgoz, M., "Some Results About Best And 2-Best Approxımatıon on 2-Structures", Mathe-matica Morica, 13(1), pp.1~11 (2009)
4. Acikgoz, M., "On Banach-Steinhause theorems in generalized 2-normed spaces", Int. Journal. of Comtep. Math. Scien., 2(22), pp.1077~1083 (2007)
5. S. Atacik, "Piecewise monotone interpolation and approximation with generalized polynomials", METU Journal of pure and applied sciences, 15(3), pp.243~252 (1992)
6. S. Atacik, "Shape preserving approximation", 박사, pp.1977
7. R. K. Beatson, "On comonotone approximation", Canad. Math. Bull., 26(2), pp.220~224 (1983)
8. S. Cobzas, "Extension of bilinear operators and best approximation in 2-normed spaces", Rev. Anal. Numer. Theory Approx., 25(1), pp.63~75 (1996)
9. R. De Vore, "Monotone approximation by polynomials", Siam, J. Math. Analysis, 8, pp.891~905 (1977)
10. F. Deutsch, "Best comonotone approximation", Transactions of the American Math. Soc., 344(2) (1994)
11. J. B. Diaz, "Simultaneous Chebyshev approximation of a set of bounded complex-valued functions", Journal of Appr. Theory, 6, pp.419~432 (1969)
12. J. B. Diaz, "Simultaneous approximation of a set of bounded real-valued functions", Math. Comp., 23, pp.583~594 (1969)
13. J. B. Diaz, "On simultaneous Chebyshev approximation and Chebyshev approximation with additive weight function", Journal of Appr. Theory, 6, pp.68~71 (1972)
14. C. B. Dunham, "Simultaneous Chebyshev approximation of functions on an interval", Proc. Amer. Math. Soc., 18, pp.472~477 (1967)
15. R. Ehret, "Linear 2-normed spaces", pp.1969
16. S. Elumalai, "Best approximation sets in linear 2-normed spaces", Commu. Korean Math. Soc., 12, pp.619~629 (1997)
17. S. Elumalai, "Best simultaneous approximation in linear 2-normed spaces", General mathematics, 16(1), pp.73~81 (2008)
18. S. Elumalai, "On best approximation in linear 2-normed spaces in the sense of Lumer", Proceedings to the national conference on optimization techniques in industrial mathematics, pp.73~82 (2000)
19. S. Elumalai, "A characterization of best approximation and operators in linear 2-normed spaces", Cal. Math. Soc., 92(4), pp.235~248 (2000)
20. D. Frank, "Best comonotone approximation", Transactions of the American Mathe-matical Society, 344(2) (1994)
21. R. Freese, "Geometry of linear 2-normed spaces" (2001), Nova science publishers
22. D. S. Goel, "On best simultaneous approximation in normed linear spaces", Canadian Mathematical Bulletin, 17(4), pp.523~527 (1974)
23. G. Iliev, "Exact estimation under the partially monotone approximation and interpolation", C.R. Acad. Bulgare Sci., 30, pp.491~494 (1977)
24. K. Iseki, "Mathematics on on 2-normed spaces", Math. Seminar Notes, Kobe University, 3, pp.125~126 (1976)
25. W. J. Kammerer, "Polynomial approximations to finitely oscilating functions", Math. Comp., 15, pp.115~119 (1961)
26. W. J. Kopotun, "Approximation of k-monotone functions", Journal of Approximation Theory, 94, pp.481~493 (1998)
27. Y. Karakus, , 박사, pp.1989
28. A. G. Law, "Theory of Approximation with applications" (1976), Academic press. inc.
29. D. Leviatan, "Comonotone approximation by splines of piecewise monotone functions", Journal of Approximation Theory, 35, pp.189~192 (1982)
30. D. Leviatan, "Some positive results and counterexamples in comonotone ap-proximation, Ⅱ", Journal of Approximation Theory, 100, pp.113~143 (1999)
31. D. Leviatan, "Constants in comonotone polynomial approximation, A survey", ~
32. G. G. Lorentz, "Approximation of functions" (1966), Holt, Rinehart and Winston
33. G. G. Lorentz, "Monotone approximation, In inequalities, vol. Ⅲ", pp.265~269 (1972), Academic press
34. W. H. Ling, "On simultaneous Chebyshev approximation in the sum norms", Proceedings of the American mathematical society, 48(1) (1975)
35. A. S. Loginov, "Best approximations of continuous functions by piecewise monotone functions", Izv. AN SSSR. Ser. Mat., 38(5), pp.995~1011 (1974)
36. G. G. Lorentz, "Approximation of functions" (1966), Holt, Rinehart and Winston
37. D. J. Newman, "efficient co-monotone approximation", Journal of Approximation Theory, 25, pp.189~192 (1979)
38. D. J. Newman, "Piecewice monotone polynomial approximation", Trans. Amer. Math. Soc., 172, pp.465~472 (1972)
39. E. Passow, "Monotone and comonotone approximation", Proc. Amer. Math. Soc., 42, pp.340~349 (1974)
40. E. Passow, "Comonotone polynomial approximation", Journal of Approximation Theory, 11, pp.221~224 (1974)
41. E. Passow, "Piecewise monotone interpolation and approximation with Münts polynomials", Trans. Amer. Math. Soc., 218, pp.197~205 (1976)
42. G. M. Phillips, "Best simultaneous approximation in the L1 and L2 norms. in: Theory of approximation with applications", pp.213~219 (1976), Academic press
43. B. N. Sahneyy, "On best simultaneous approximation in Banach spaces", Journal of Approximation Theory, 35, pp.222~224 (1982)
44. K. Savrun, "Comonotone approximation and the existence of simultaneous comonotone approximation", 석사, pp.2003
45. Shi, Ying-Guang, "Weighted simultaneous Chebyshev approximation", Journal pf Approxima-tion Theory, 32, pp.306~315 (1981)
46. J. A. Roulier, "Monotone approximation of certain classes of functions", Journal Approximation Theory, 1, pp.319~324 (1968)
47. J. A. Roulier, "Nearly comonotone approximation", Proc. Amer. Math. Soc., 47, pp.84~85 (1975)
48. O. Shisha, "Monotone approximation", Pacific J. Math., 15, pp.667~671 (1965)
49. for 1 ≤ p < ∞, "Journal of Approximation Theory", 1960, 58~69
50. S.W. Young, "Piecewise monotone polynomial interpolation", Bull. Amer. Math. Soc., 73, pp.642~643 (1967)
51. A. White, "2-Banach spaces", Math. Nachr., 42, pp.43~60 (1969)
52. W. Wolibner, "Sur un polynome d'interpolation", Colloq. Math., 2, pp.136~137 (1951)

관련 논문AI추천