Skip to main content
×
×
Home

MKZ Type Operators Providing a Better Estimation on [1/2, 1)

  • M. Ali Özarslan (a1) and Oktay Duman (a2)
Abstract

In the present paper, we introduce a modification of the Meyer-König and Zeller (MKZ) operators which preserve the test functions f 0(x) = 1 and f 2(x) = x 2, and we show that this modification provides a better estimation than the classical MKZ operators on the interval [½, 1) with respect to the modulus of continuity and the Lipschitz class functionals. Furthermore, we present the r-th order generalization of our operators and study their approximation properties.

    • Send article to Kindle

      To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      MKZ Type Operators Providing a Better Estimation on [1/2, 1)
      Available formats
      ×
      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

      MKZ Type Operators Providing a Better Estimation on [1/2, 1)
      Available formats
      ×
      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

      MKZ Type Operators Providing a Better Estimation on [1/2, 1)
      Available formats
      ×
Copyright
References
Hide All
[1] Cheney, E. W. and Sharma, A., Bernstein power series. Canad. J. Math. 16(1964), 241252.
[2] Doǧru, O., Özarslan, M. A. and Taşdelen, F., On positive operators involving a certain class of generating functions. Studia Sci. Math. Hungar. 41(2004), no. 4, 415429.
[3] Meyer-König, W. and Zeller, K., Bernsteinsche Potenzreihen. Studia Math. 19(1960), 8994.
[4] Kirov, G. and Popova, L., A generalization of the linear positive operators.Math. Balkanica, 7(1993), no. 2, 149162.
[5] Korovkin, P. P., Linear Operators and Approximation Theory. Hindustan Publishing, Delhi, 1960.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Canadian Mathematical Bulletin
  • ISSN: 0008-4395
  • EISSN: 1496-4287
  • URL: /core/journals/canadian-mathematical-bulletin
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Keywords

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed