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Volumn 6, Issue 4, 2005, Pages 1-12

L'Hospital-type rules for monotonicity, and the Lambert and Saccheri quadrilaterals in hyperbolic geometry

Author keywords

Differential geometry; Hyperbolic geometry; L'Hospital type rules for monotonicity; Lambert quadrilaterals; Poincar model; Riemann geometry; Saccheri quadrilaterals

Indexed keywords


EID: 27844544694     PISSN: 14435756     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (5)

References (21)
  • 6
    • 0003353441 scopus 로고
    • The Geometry of Discrete Groups
    • Springer-Verlag, New York
    • A.F. BEARDON, The Geometry of Discrete Groups. Graduate Texts in Mathematics, vol. 91. Springer-Verlag, New York, 1983.
    • (1983) Graduate Texts in Mathematics , vol.91
    • Beardon, A.F.1
  • 9
    • 84972535477 scopus 로고
    • Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
    • J. CHEEGER, M. GROMOV AND M. TAYLOR, Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds, J. Diff. Geom., 17 (1982), 15-54.
    • (1982) J. Diff. Geom. , vol.17 , pp. 15-54
    • Cheeger, J.1    Gromov, M.2    Taylor, M.3
  • 10
    • 85029837057 scopus 로고
    • Quantifier elimination for the elementary theory of real closed fields by cylindrical algebraic decomposition
    • G.E. COLLINS, Quantifier elimination for the elementary theory of real closed fields by cylindrical algebraic decomposition, Lecture Notes In Computer Science, Vol. 33, 1975, pp. 134-183.
    • (1975) Lecture Notes in Computer Science , vol.33 , pp. 134-183
    • Collins, G.E.1
  • 11
    • 0009389702 scopus 로고
    • Isoperimetric inequalities in Riemannian manifolds
    • Appendix I, Springer, Berlin
    • M. GROMOV, Isoperimetric inequalities in Riemannian manifolds, Asymptotic theory of finite dimensional spaces, Lecture Notes Math., Vol. 1200, Appendix I, Springer, Berlin, 1986, pp. 114-129.
    • (1986) Asymptotic Theory of Finite Dimensional Spaces, Lecture Notes Math. , vol.1200 , pp. 114-129
    • Gromov, M.1
  • 13
    • 27844466228 scopus 로고    scopus 로고
    • Saccheri quadrilateral
    • V. PAMBUCCIAN, Saccheri quadrilateral, Amer. Math. Monthly, 112 (2005), 88-89.
    • (2005) Amer. Math. Monthly , vol.112 , pp. 88-89
    • Pambuccian, V.1
  • 14
    • 10844254191 scopus 로고
    • 2 test under symmetry condition
    • Preprint, 1991. A shorter version of the preprint appeared
    • 2 test under symmetry condition, Preprint, 1991. A shorter version of the preprint appeared in Ann. Statist., 22 (1994), 357-368.
    • (1994) Ann. Statist. , vol.22 , pp. 357-368
    • Pinelis, I.1
  • 15
    • 27844504363 scopus 로고    scopus 로고
    • L'Hospital type results for monotonicity, with applications
    • Art. 5. [ONLINE]
    • I. PINELIS, L'Hospital type results for monotonicity, with applications, J. Inequal. Pure Appl. Math., 3(1) (2002), Art. 5. [ONLINE: http://jipam.vu.edu. au/article.php?sid=158]
    • (2002) J. Inequal. Pure Appl. Math , vol.3 , Issue.1
    • Pinelis, I.1
  • 16
    • 0005582809 scopus 로고    scopus 로고
    • L'Hospital type rules for oscillation, with applications
    • Art. 33. [ONLINE]
    • I. PINELIS, L'Hospital type rules for oscillation, with applications, J. Inequal. Pure Appl. Math., 2(3) (2001), Art. 33. [ONLINE: http://jipam.vu.edu. au/article.php?sid=149]
    • (2001) J. Inequal. Pure Appl. Math. , vol.2 , Issue.3
    • Pinelis, I.1
  • 17
    • 27844498408 scopus 로고    scopus 로고
    • Monotonicity properties of the relative error of a Padé approximation for Mills' ratio
    • Art. 20. [ONLINE]
    • I. PINELIS, Monotonicity properties of the relative error of a Padé approximation for Mills' ratio, J. Inequal. Pure Appl. Math., 3(2) (2002), Art. 20. [ONLINE: http://jipam.vu.edu.au/article.php?sid=172]
    • (2002) J. Inequal. Pure Appl. Math. , vol.3 , Issue.2
    • Pinelis, I.1
  • 18
    • 27844504363 scopus 로고    scopus 로고
    • L'Hospital type rules for monotonicity: Applications to probability inequalities for sums of bounded random variables
    • Art. 7. [ONLINE]
    • I. PINELIS, L'Hospital type rules for monotonicity: Applications to probability inequalities for sums of bounded random variables, J. Inequal. Pure Appl. Math., 3(1) (2002), Art. 7. [ONLINE: http://jipam.vu.edu.au/article.php? sid=160]
    • (2002) J. Inequal. Pure Appl. Math. , vol.3 , Issue.1
    • Pinelis, I.1
  • 19
    • 10844237920 scopus 로고    scopus 로고
    • L'Hospital rules for monotonicity and the Wilker-Anglesio inequality
    • I. PINELIS, L'Hospital rules for monotonicity and the Wilker-Anglesio inequality, Amer. Math. Monthly, 111 (2004), 905-909.
    • (2004) Amer. Math. Monthly , vol.111 , pp. 905-909
    • Pinelis, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.