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Volumn 249, Issue 2, 2000, Pages 569-582

On Certain Inequalities Involving the Constant e and Their Applications

Author keywords

Convex functions; Hadamard inequalities; Special means and Stirling's formula

Indexed keywords


EID: 0034664296     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.6911     Document Type: Article
Times cited : (42)

References (14)
  • 1
    • 4243235700 scopus 로고
    • On the functional inequality f(x + y) ≥ f(x)f(y)
    • Wetzel J. E. On the functional inequality f(x + y) ≥ f(x)f(y). Amer. Math. Monthly. 74:1967;1065-1068.
    • (1967) Amer. Math. Monthly , vol.74 , pp. 1065-1068
    • Wetzel, J.E.1
  • 4
    • 0038904431 scopus 로고    scopus 로고
    • Some inequalities involving the constant e, and an application to Carleman's inequality
    • Yang B., Debnath L. Some inequalities involving the constant e, and an application to Carleman's inequality. J. Math. Anal. Appl. 223:1998;347-353.
    • (1998) J. Math. Anal. Appl. , vol.223 , pp. 347-353
    • Yang, B.1    Debnath, L.2
  • 5
    • 0002386253 scopus 로고
    • Ungleichungen für Mittelwerte
    • Alzer H. Ungleichungen für Mittelwerte. Arch. Math. 47:1986;477-426.
    • (1986) Arch. Math. , vol.47 , pp. 477-426
    • Alzer, H.1
  • 6
    • 34249953171 scopus 로고
    • On the identric and logarithmic means
    • Sándor J. On the identric and logarithmic means. Aequationes Math. 40:1990;261-270.
    • (1990) Aequationes Math. , vol.40 , pp. 261-270
    • Sándor, J.1
  • 7
    • 0001275093 scopus 로고
    • On certain inequalities for means
    • Sándor J. On certain inequalities for means. J. Math. Anal. Appl. 189:1995;607-606.
    • (1995) J. Math. Anal. Appl. , vol.189 , pp. 607-606
    • Sándor, J.1
  • 8
    • 0000016560 scopus 로고
    • The power mean and generalized logarithmic means
    • Stolarsky K. B. The power mean and generalized logarithmic means. Amer. Math. Monthly. 87:1980;545-548.
    • (1980) Amer. Math. Monthly , vol.87 , pp. 545-548
    • Stolarsky, K.B.1
  • 9
    • 0002105208 scopus 로고
    • Some integral inequalities
    • Sándor J. Some integral inequalities. Elem. Math. 43:1988;177-180.
    • (1988) Elem. Math. , vol.43 , pp. 177-180
    • Sándor, J.1
  • 10
    • 85037790363 scopus 로고
    • On Hadamard's inequality
    • Sándor J. On Hadamard's inequality. Mat. Lapok. 87:1982;427-430.
    • (1982) Mat. Lapok , vol.87 , pp. 427-430
    • Sándor, J.1
  • 11


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.