메뉴 건너뛰기




Volumn 42, Issue 1-2, 2005, Pages 207-219

Approximation of the integral mean divergence and f-Divergence via mean results

Author keywords

Approximation; Csisz r's f divergence; Hermite Hadamard divergence; Integral mean divergence

Indexed keywords

COMPUTATIONAL METHODS; FUNCTIONS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS;

EID: 26844548077     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2004.02.044     Document Type: Article
Times cited : (12)

References (18)
  • 1
    • 0001903067 scopus 로고
    • A comparative assessment of various measures of directed divergence
    • J.N. Kapur A comparative assessment of various measures of directed divergence Advances in Management Studies 3 1984 1 16
    • (1984) Advances in Management Studies , vol.3 , pp. 1-16
    • Kapur, J.N.1
  • 3
    • 0000864925 scopus 로고
    • A note on Jensen's inequality
    • I. Csiszár A note on Jensen's inequality Studia Sci. Math. Hung. 1 1966 185 188
    • (1966) Studia Sci. Math. Hung. , vol.1 , pp. 185-188
    • Csiszár, I.1
  • 4
    • 0000489740 scopus 로고
    • Information-type measures of differences of probability distributions and indirect observation
    • I. Csiszár Information-type measures of differences of probability distributions and indirect observation Studia Sci. Math. Hung. 2 1967 299 318
    • (1967) Studia Sci. Math. Hung. , vol.2 , pp. 299-318
    • Csiszár, I.1
  • 5
    • 0002743439 scopus 로고
    • On topological properties of f-divergence
    • I. Caiazár On topological properties of f-divergence Studia Sci. Math. Hung. 2 1967 329 339
    • (1967) Studia Sci. Math. Hung. , vol.2 , pp. 329-339
    • Caiazár, I.1
  • 6
    • 5844264946 scopus 로고
    • A new inequality for f-divergence, its maximum, and application to learning problems
    • H. Shioya, H. Nagaoka, and T. Da-te A new inequality for f-divergence, its maximum, and application to learning problems Trans. (A), I.E.I.C.E. Japan J73-74 4 1994 720 726
    • (1994) Trans. (A), I.E.I.C.E. Japan , vol.7374 , Issue.4 , pp. 720-726
    • Shioya, H.1    Nagaoka, H.2    Da-Te, T.3
  • 7
    • 0029332365 scopus 로고
    • A generalisation of Lin divergence and the derivation of a new information divergence measure
    • H. Shioya, and T. Da-te A generalisation of Lin divergence and the derivation of a new information divergence measure Electronics and Communications in Japan 78 7 1995 34 40
    • (1995) Electronics and Communications in Japan , vol.78 , Issue.7 , pp. 34-40
    • Shioya, H.1    Da-Te, T.2
  • 9
    • 0000310946 scopus 로고    scopus 로고
    • A new proof of monotonicity for extended mean values
    • F. Qi, S.-L. Xu, and L. Debnath A new proof of monotonicity for extended mean values Intern. J. Math. Sci. 22 2 1999 415 420
    • (1999) Intern. J. Math. Sci. , vol.22 , Issue.2 , pp. 415-420
    • Qi, F.1    Xu, S.-L.2    Debnath, L.3
  • 11
    • 0141639667 scopus 로고    scopus 로고
    • Differences between means with bounds from a Riemann-Stieltjes integral
    • P. Cerone, and S.S. Dragomir Differences between means with bounds from a Riemann-Stieltjes integral Computers Math. Applic. 46 2/3 2003 445 453
    • (2003) Computers Math. Applic. , vol.46 , Issue.2-3 , pp. 445-453
    • Cerone, P.1    Dragomir, S.S.2
  • 12
    • 33646750446 scopus 로고    scopus 로고
    • On the Ostrowski's integral inequality for mappings of bounded variation and applications
    • S.S. Dragomir On the Ostrowski's integral inequality for mappings of bounded variation and applications RGMIA Res. Rep. Coll. 2 1 1999 73 80
    • (1999) RGMIA Res. Rep. Coll. , vol.2 , Issue.1 , pp. 73-80
    • Dragomir, S.S.1
  • 13
    • 0035420978 scopus 로고    scopus 로고
    • Csiszár f-divergence, Ostrowski's inequality and mutual information
    • S.S. Dragomir, V. Gluščević, and C.E.M. Pearce Csiszár f-divergence, Ostrowski's inequality and mutual information Nonlin. Anal. 47 4 2001 2375 2386
    • (2001) Nonlin. Anal. , vol.47 , Issue.4 , pp. 2375-2386
    • Dragomir, S.S.1    Gluščević, V.2    Pearce, C.E.M.3
  • 14
    • 24144498887 scopus 로고    scopus 로고
    • Approximations for Csiszár f-divergence via midpoint inequalities
    • Y.J. Cho J.K. Kim S.S. Dragomir Nova Science Publishers New York
    • S.S. Dragomir, V. Gluščević, and C.E.M. Pearce Approximations for Csiszár f-divergence via midpoint inequalities Y.J. Cho J.K. Kim S.S. Dragomir Inequal. Theory & Appl. 2001 Nova Science Publishers New York 139 154
    • (2001) Inequal. Theory & Appl. , pp. 139-154
    • Dragomir, S.S.1    Gluščević, V.2    Pearce, C.E.M.3
  • 15
    • 26844454082 scopus 로고    scopus 로고
    • The approximations for Csiszár f-divergence for absolutely continuous mappings
    • Y.J. Cho J.K. Kim S.S. Dragomir Nova Science Publishers New York
    • S.S. Dragomir, V. Gluščević, and C.E.M. Pearce The approximations for Csiszár f-divergence for absolutely continuous mappings Y.J. Cho J.K. Kim S.S. Dragomir Inequal. Theory & Appl. 2001 Nova Science Publishers New York 155 170
    • (2001) Inequal. Theory & Appl. , pp. 155-170
    • Dragomir, S.S.1    Gluščević, V.2    Pearce, C.E.M.3
  • 16
    • 26844495660 scopus 로고    scopus 로고
    • The approximations for Csiszár f-divergence for mappings of bounded variation
    • Y.J. Cho J.K. Kim S.S. Dragomir Nova Science Publishers New York
    • S.S. Dragomir, V. Gluščević, and C.E.M. Pearce The approximations for Csiszár f-divergence for mappings of bounded variation Y.J. Cho J.K. Kim S.S. Dragomir Inequal. Theory & Appl. 2001 Nova Science Publishers New York 171 182
    • (2001) Inequal. Theory & Appl. , pp. 171-182
    • Dragomir, S.S.1    Gluščević, V.2    Pearce, C.E.M.3
  • 17
    • 0025952277 scopus 로고
    • Divergence measures based on the Shannon entropy
    • J. Lin Divergence measures based on the Shannon entropy IEEE Trans., IT 37 1 1991 145 151
    • (1991) IEEE Trans., IT , vol.37 , Issue.1 , pp. 145-151
    • Lin, J.1
  • 18
    • 0010204818 scopus 로고
    • A new directed divergence measure and its characterisation
    • J. Lin, and S.K.M. Wong A new directed divergence measure and its characterisation Int. J. General Systems 17 1990 73 81
    • (1990) Int. J. General Systems , vol.17 , pp. 73-81
    • Lin, J.1    Wong, S.K.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.