메뉴 건너뛰기




Volumn 18, Issue 12, 2005, Pages 1339-1344

Rates of A-statistical convergence of positive linear operators

Author keywords

A density; A statistical convergence; Modulus of continuity; Sequence of positive linear operators; The Korovkin theorem; Weight function; Weighted space

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; LINEAR SYSTEMS; MATHEMATICAL OPERATORS;

EID: 26844550877     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2005.02.029     Document Type: Article
Times cited : (30)

References (23)
  • 1
    • 0242317215 scopus 로고
    • Minimal rates of summability
    • J.A. Fridy Minimal rates of summability Canad. J. Math. 30 1978 808 816
    • (1978) Canad. J. Math. , vol.30 , pp. 808-816
    • Fridy, J.A.1
  • 3
    • 0242380144 scopus 로고
    • Rates of convergence and topics in summability theory
    • H.I. Miller Rates of convergence and topics in summability theory Rad. Akad. Nauka i Umjet. BiH 74 22 1983 39 55
    • (1983) Rad. Akad. Nauka i Umjet. BiH , vol.74 , Issue.22 , pp. 39-55
    • Miller, H.I.1
  • 5
    • 0242350915 scopus 로고    scopus 로고
    • A-statistical convergence of approximating operators
    • O. Duman, M.K. Khan, and C. Orhan A -statistical convergence of approximating operators Math. Inequal. Appl. 6 4 2003 689 699
    • (2003) Math. Inequal. Appl. , vol.6 , Issue.4 , pp. 689-699
    • Duman, O.1    Khan, M.K.2    Orhan, C.3
  • 6
    • 0003258519 scopus 로고
    • Korovkin Type Approximation Theory and its Application
    • de Gruyter&Co. Berlin
    • F. Altomare, and M. Campiti Korovkin Type Approximation Theory and its Application Walter de Gruyter Studies in Math. vol. 17 1994 de Gruyter&Co. Berlin
    • (1994) Walter de Gruyter Studies in Math. , vol.17
    • Altomare, F.1    Campiti, M.2
  • 7
    • 0003327466 scopus 로고
    • The Approximation of Continuous Functions by Positive Linear Operators
    • Springer-Verlag Berlin
    • R.A. Devore The Approximation of Continuous Functions by Positive Linear Operators Lecture Notes in Math. vol. 293 1972 Springer-Verlag Berlin
    • (1972) Lecture Notes in Math. , vol.293
    • Devore, R.A.1
  • 9
    • 1842427211 scopus 로고    scopus 로고
    • Statistical approximation by positive linear operators
    • O. Duman, and C. Orhan Statistical approximation by positive linear operators Studia Math. 161 2 2004 187 197
    • (2004) Studia Math. , vol.161 , Issue.2 , pp. 187-197
    • Duman, O.1    Orhan, C.2
  • 10
    • 0036520728 scopus 로고    scopus 로고
    • Some approximation theorems via statistical convergence
    • A.D. Gadjiev, and C. Orhan Some approximation theorems via statistical convergence Rocky Mountain J. Math. 32 2002 129 138
    • (2002) Rocky Mountain J. Math. , vol.32 , pp. 129-138
    • Gadjiev, A.D.1    Orhan, C.2
  • 13
    • 0000796035 scopus 로고
    • On strong matrix summability with respect to a modulus and statistical convergence
    • J.S. Connor On strong matrix summability with respect to a modulus and statistical convergence Canad. Math. Bull. 32 1989 194 198
    • (1989) Canad. Math. Bull. , vol.32 , pp. 194-198
    • Connor, J.S.1
  • 14
    • 0029689350 scopus 로고    scopus 로고
    • On statistical limit points and the consistency of statistical convergence
    • J.S. Connor, and J. Kline On statistical limit points and the consistency of statistical convergence J. Math. Anal. Appl. 197 1996 392 399
    • (1996) J. Math. Anal. Appl. , vol.197 , pp. 392-399
    • Connor, J.S.1    Kline, J.2
  • 15
    • 84966219894 scopus 로고
    • A measure theoretical subsequence characterization of statistical convergence
    • H.I. Miller A measure theoretical subsequence characterization of statistical convergence Trans. Amer. Math. Soc. 347 1995 1811 1819
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 1811-1819
    • Miller, H.I.1
  • 16
    • 0000243940 scopus 로고
    • Sur la convergence statistique
    • H. Fast Sur la convergence statistique Colloq. Math. 2 1951 241 244
    • (1951) Colloq. Math. , vol.2 , pp. 241-244
    • Fast, H.1
  • 17
    • 0000363911 scopus 로고
    • On statistical convergence
    • J.A. Fridy On statistical convergence Analysis 5 1985 301 313
    • (1985) Analysis , vol.5 , pp. 301-313
    • Fridy, J.A.1
  • 18
    • 21944449161 scopus 로고    scopus 로고
    • Statistical limit superior and limit inferior
    • J.A. Fridy, and C. Orhan Statistical limit superior and limit inferior Proc. Amer. Math. Soc. 125 1997 3625 3631
    • (1997) Proc. Amer. Math. Soc. , vol.125 , pp. 3625-3631
    • Fridy, J.A.1    Orhan, C.2
  • 19
    • 84934277295 scopus 로고
    • Matrix summability of statistically convergent sequences
    • E. Kolk Matrix summability of statistically convergent sequences Analysis 13 1993 77 83
    • (1993) Analysis , vol.13 , pp. 77-83
    • Kolk, E.1
  • 20
    • 0002849437 scopus 로고
    • The statistical convergence in Banach spaces
    • E. Kolk The statistical convergence in Banach spaces Acta Et Comment. Tartuensis 928 1991 41 52
    • (1991) Acta et Comment. Tartuensis , vol.928 , pp. 41-52
    • Kolk, E.1
  • 21
    • 0010467418 scopus 로고
    • The convergence problem for a sequence of positive linear operators on unbounded sets, and theorems analogous to that of P. P. Korovkin
    • A.D. Gadžiev The convergence problem for a sequence of positive linear operators on unbounded sets, and theorems analogous to that of P. P. Korovkin Soviet Math. Dokl. 15 1974 1433 1436
    • (1974) Soviet Math. Dokl. , vol.15 , pp. 1433-1436
    • Gadžiev, A.D.1
  • 22
    • 0042742510 scopus 로고
    • Theorems of the type of P. P. Korovkin's theorems
    • A.D. Gadjiev Theorems of the type of P. P. Korovkin's theorems Mat. Zametki 20 1976 781 786 (in Russian)
    • (1976) Mat. Zametki , vol.20 , pp. 781-786
    • Gadjiev, A.D.1
  • 23
    • 26844470753 scopus 로고    scopus 로고
    • Weighted approximation of continuous functions on the all positive axis by modified linear positive operators
    • O. Doǧru Weighted approximation of continuous functions on the all positive axis by modified linear positive operators Int. J. Comput. Numer. Anal. Appl. 1 2002 135 147
    • (2002) Int. J. Comput. Numer. Anal. Appl. , vol.1 , pp. 135-147
    • Doǧru, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.