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

Monotonicity and convexity for the gamma function

Author keywords

Convexity; Gamma function; Monotonicity

Indexed keywords


EID: 27844459163     PISSN: 14435756     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (19)

References (15)
  • 1
    • 0004245694 scopus 로고
    • Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards
    • 4th printing, with corrections, Washington
    • M. ABRAMOWITZ AND I.A. STEGUN (Eds), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series 55, 4th printing, with corrections, Washington, 1965.
    • (1965) Applied Mathematics Series 55
    • Abramowitz, M.1    Stegun, I.A.2
  • 3
    • 0034357806 scopus 로고    scopus 로고
    • On Bernstein's inequality for ultraspherical polynomials
    • H. ALZER, On Bernstein's inequality for ultraspherical polynomials, J. Math. Anal. Appl., 252 (2000), 353-363.
    • (2000) J. Math. Anal. Appl. , vol.252 , pp. 353-363
    • Alzer, H.1
  • 4
    • 0001155622 scopus 로고
    • Sur les polynômes orthogonaux relatifs à un segment fini
    • S. BERNSTEIN, Sur les polynômes orthogonaux relatifs à un segment fini, J. Math., 10 (1931), 219-286.
    • (1931) J. Math. , vol.10 , pp. 219-286
    • Bernstein, S.1
  • 6
    • 13544261733 scopus 로고    scopus 로고
    • The best bounds in Wallis' inequality
    • CHAO-PING CHEN AND FENG QI, The best bounds in Wallis' inequality, Proc. Amer. Math. Soc., 133(2) (2005), 397-401.
    • (2005) Proc. Amer. Math. Soc. , vol.133 , Issue.2 , pp. 397-401
    • Chen, C.-P.1    Qi, F.2
  • 7
    • 0001462465 scopus 로고
    • A Bernstein-type for the Jacobi polynomial
    • Y. CHOW, L. GATTESCHI AND R. WONG, A Bernstein-type for the Jacobi polynomial, Proc. Amer. Math. Soc., 121(2) (1994), 703-709.
    • (1994) Proc. Amer. Math. Soc. , vol.121 , Issue.2 , pp. 703-709
    • Chow, Y.1    Gatteschi, L.2    Wong, R.3
  • 9
    • 85171841264 scopus 로고
    • Some elementary inequalities relating to the gamme and incomplete gamma function
    • W. GAUTSCHI, Some elementary inequalities relating to the gamme and incomplete gamma function, J. Math. Phys., 38 (1959), 77-81.
    • (1959) J. Math. Phys. , vol.38 , pp. 77-81
    • Gautschi, W.1
  • 11
    • 84966228652 scopus 로고
    • Some extensions of W. Gautschi's inequalities for gamma function
    • D. KERSHAW, Some extensions of W. Gautschi's inequalities for gamma function, Math. Comp., 41 (164) (1983), 607-611.
    • (1983) Math. Comp. , vol.41 , Issue.164 , pp. 607-611
    • Kershaw, D.1
  • 12
    • 0000819157 scopus 로고
    • A simple proof of the Bernstein inequality for ultraspherical polynomials
    • A. LAFORGIA, A simple proof of the Bernstein inequality for ultraspherical polynomials, Boll. Un. Mat. Ital., 6A (1992), 267-269.
    • (1992) Boll. Un. Mat. Ital. , vol.6 A , pp. 267-269
    • Laforgia, A.1
  • 13
    • 0002422392 scopus 로고
    • Inequalities for ultraspherical polynomials and the gamma function
    • L. LORCH, Inequalities for ultraspherical polynomials and the gamma function, J. Approx. Theory, 40 (1984), 115-120.
    • (1984) J. Approx. Theory , vol.40 , pp. 115-120
    • Lorch, L.1
  • 15
    • 84973987300 scopus 로고
    • A note on Gamma functions
    • Edinburgh Math. Notes No. 42 (misprinted 41) (1959)
    • G.N. WATSON, A note on Gamma functions, Proc. Edinburgh Math. Soc., (2) 11 1958/1959 Edinburgh Math. Notes No. 42 (misprinted 41) (1959), 7-9.
    • (1958) Proc. Edinburgh Math. Soc. , vol.11 , Issue.2
    • Watson, G.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.