메뉴 건너뛰기




Volumn 126, Issue 2, 1998, Pages 461-470

Schur-convex functions and isoperimetric inequalities

Author keywords

Bonnesen inequality; Degree of irregularity; Doubly stochastic matrix; Isoperimetric inequality; Schur convex function; Symmetric function

Indexed keywords


EID: 21944445986     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-98-04151-3     Document Type: Article
Times cited : (62)

References (18)
  • 3
    • 0003543733 scopus 로고
    • Cambridge Univ. Press, Cambridge, New York, MR 13:727e
    • G. Hardy, J. E. Littlewood and G. Polya, Inequalities, Cambridge Univ. Press, Cambridge, New York, 1951. MR 13:727e
    • (1951) Inequalities
    • Hardy, J.E.1    Littlewood, G.2    Polya, G.3
  • 4
    • 0003436972 scopus 로고
    • Geometric Inequalities
    • Math. Assoc. of America, MR 24:A1
    • N. D. Kazarinoff, Geometric Inequalities, New Math. Library, Math. Assoc. of America, 1961. MR 24:A1
    • (1961) New Math. Library
    • Kazarinoff, N.D.1
  • 5
    • 0002513964 scopus 로고
    • Analytic and Geometric Isoperimetric Inequalities
    • MR 96f:52012
    • H. T. Ku, M. C. Ku and X. M. Zhang, Analytic and Geometric Isoperimetric Inequalities, Journal of Geometry, vol.53(1995)100-121. MR 96f:52012
    • (1995) Journal of Geometry , vol.53 , pp. 100-121
    • Ku, M.C.1    Ku, H.T.2    Zhang, X.M.3
  • 7
    • 0001787340 scopus 로고
    • Cyclic Polygons and Related Questions
    • MR 82j:51029
    • D. S. Macnab, Cyclic Polygons and Related Questions, Math. Gazette, 65(1981)22-28. MR 82j:51029
    • (1981) Math. Gazette , vol.65 , pp. 22-28
    • Macnab, D.S.1
  • 10
    • 0004177337 scopus 로고
    • Springer-Verlag, Berlin, Heidelberg, New York, MR 43:448
    • D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, Berlin, Heidelberg, New York, 1970. MR 43:448
    • (1970) Analytic Inequalities
    • Mitrinovic, D.S.1
  • 11
    • 0000190919 scopus 로고
    • The isoperimetric inequality
    • MR 58:18161
    • R. Osserman, The isoperimetric inequality, Bull. Amer. Math. Soc. 84(1978), 1182-1238. MR 58:18161
    • (1978) Bull. Amer. Math. Soc. , vol.84 , pp. 1182-1238
    • Osserman, R.1
  • 12
    • 0001815625 scopus 로고
    • Bonnesen-style Isoperimetric Inequalities
    • MR 80h:52013
    • R.Osserman, Bonnesen-style Isoperimetric Inequalities, Amer.Math.Monthly, 86 (1979)1-29. MR 80h:52013
    • (1979) Amer.Math.Monthly , vol.86 , pp. 1-29
    • Osserman, R.1
  • 13
    • 0012853082 scopus 로고
    • Sur quelques application des fonctions convexes et concave au sens de I. Schur
    • MR 14:625d
    • A. Ostrowski, Sur quelques application des fonctions convexes et concave au sens de I. Schur, J. Math. Pures Appl. 31(1952) 253-292. MR 14:625d
    • (1952) J. Math. Pures Appl. , vol.31 , pp. 253-292
    • Ostrowski, A.1
  • 15
    • 0004188749 scopus 로고
    • Academic Press, New York, San Francisco, London, MR 56:1201
    • A. Wayne Roberts and Dale E. Varberg, Convex Functions, Academic Press, New York, San Francisco, London, 1973. MR 56:1201
    • (1973) Convex Functions
    • Wayne Roberts, A.1    Varberg, D.E.2
  • 16
    • 0017645026 scopus 로고
    • An inequality for certain bivariate probability integrals
    • MR 58:18892
    • H.Wynn, An inequality for certain bivariate probability integrals, Biometrika, 64(1977)411414. MR 58:18892
    • (1977) Biometrika , vol.64 , pp. 411414
    • Wynn, H.1
  • 17
    • 85033073891 scopus 로고    scopus 로고
    • Bonnesen-style Inequalities and Pseudo-perimeters for Polygons
    • to appear.
    • X.M.Zhang, Bonnesen-style Inequalities and Pseudo-perimeters for Polygons, Journal of Geometry, to appear.
    • Journal of Geometry
    • Zhang, X.M.1
  • 18
    • 0030585602 scopus 로고    scopus 로고
    • A Refinement of the Discrete Wirtinger Inequality
    • MR 97h:26012
    • X.M.Zhang, A Refinement of the Discrete Wirtinger Inequality, Journal of Mathematical Analysis and Applications, 200(1996)687-697. MR 97h:26012
    • (1996) Journal of Mathematical Analysis and Applications , vol.200 , pp. 687-697
    • Zhang, X.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.