메뉴 건너뛰기




Volumn 4, Issue 3, 2001, Pages 343-355

Carleman-Knopp type inequalities via Hardy inequalities

Author keywords

Carleman's inequality; Hardy's inequality; Inequalities; Knopp's inequality

Indexed keywords


EID: 0035628464     PISSN: 13314343     EISSN: None     Source Type: Journal    
DOI: 10.7153/mia-04-33     Document Type: Article
Times cited : (21)

References (17)
  • 4
    • 0040432874 scopus 로고    scopus 로고
    • A characterization for the boundedness of geometric mean operator
    • P. JAIN AND A. P. SINGH, A characterization for the boundedness of geometric mean operator, Applied Math. Letters, Vol. 13, No. 8 (2000), 63-67.
    • (2000) Applied Math. Letters , vol.13 , Issue.8 , pp. 63-67
    • Jain, P.1    Singh, A.P.2
  • 5
    • 0002108562 scopus 로고    scopus 로고
    • From Hardy to Carleman and general mean-type inequalities
    • Narosa Publishing House
    • P. JAIN, L. E. PERSSON AND A. WEDESTIG, From Hardy to Carleman and general mean-type inequalities, Function Spaces and Applications, Narosa Publishing House, 2000, 117-130.
    • (2000) Function Spaces and Applications , pp. 117-130
    • Jain, P.1    Persson, L.E.2    Wedestig, A.3
  • 6
    • 0347409306 scopus 로고    scopus 로고
    • A limiting case of Hardy's inequality
    • to appear
    • A. M. JARRAH AND A. P. SINGH, A limiting case of Hardy's inequality, Indian J. Math., to appear.
    • Indian J. Math.
    • Jarrah, A.M.1    Singh, A.P.2
  • 7
    • 0000571438 scopus 로고
    • Über Reihen mit positiven Gliedern
    • K. KNOPP, Über Reihen mit positiven Gliedern, J. London Math. Soc. 3(1928), 205-211.
    • (1928) J. London Math. Soc. , vol.3 , pp. 205-211
    • Knopp, K.1
  • 8
    • 84974399475 scopus 로고
    • Inequalities related to those of Hardy and of Carleman and Lee
    • E. R. LOVE, Inequalities related to those of Hardy and of Carleman and Lee, Math. Proc. Camb. Phil. Soc., 99(1986), 395-403.
    • (1986) Math. Proc. Camb. Phil. Soc. , vol.99 , pp. 395-403
    • Love, E.R.1
  • 9
    • 38249021594 scopus 로고
    • Inequalities related to Knopp's inequality
    • E. R. LOVE, Inequalities related to Knopp's inequality. Math. Anal. Appl., 137 (1), (1990), 173-180.
    • (1990) Math. Anal. Appl. , vol.137 , Issue.1 , pp. 173-180
    • Love, E.R.1
  • 11
    • 84966198993 scopus 로고
    • Weighted inequalities for geometric means
    • B. OPIC AND P. GURKA, Weighted inequalities for geometric means, Proc. Amer. Math. Soc. 3(1994), 771-779.
    • (1994) Proc. Amer. Math. Soc. , vol.3 , pp. 771-779
    • Opic, B.1    Gurka, P.2
  • 12
    • 0025445401 scopus 로고
    • On some new inequalities related to Hardy's integral inequality
    • B. G. PACHPATTE AND E. R. LOVE, On some new inequalities related to Hardy's integral inequality, Math. Anal. Appl., 149 (1), (1990), 17-25.
    • (1990) Math. Anal. Appl. , vol.149 , Issue.1 , pp. 17-25
    • Pachpatte, B.G.1    Love, E.R.2
  • 13
    • 0000035965 scopus 로고
    • On the geometric mean operator
    • L. PICK AND B. OPIC, On the geometric mean operator, J. Math. Anal. Appl. 183 (3), (1994), 652-662.
    • (1994) J. Math. Anal. Appl. , vol.183 , Issue.3 , pp. 652-662
    • Pick, L.1    Opic, B.2
  • 16
    • 0346778857 scopus 로고    scopus 로고
    • Weighted integral inequalities with the geometric mean operator
    • to appear. Research Report No. 9, Department of Mathematics, Luleå University of Technology
    • L. E. PERSSON AND V. D. STEPANOV, Weighted integral inequalities with the geometric mean operator, J. of Inequal. & Appl, to appear. Research Report No. 9, Department of Mathematics, Luleå University of Technology, 2000.
    • (2000) J. of Inequal. & Appl
    • Persson, L.E.1    Stepanov, V.D.2
  • 17
    • 84968507695 scopus 로고
    • The weighted Hardy's inequality for nonincreasing functions
    • V. D. STEPANOV, The weighted Hardy's inequality for nonincreasing functions, Trans. Amer. Math. Soc., 338(1), (1993), 173-186.
    • (1993) Trans. Amer. Math. Soc. , vol.338 , Issue.1 , pp. 173-186
    • Stepanov, V.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.