English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Our main purpose of this article is to study the convergence and otherrelated properties of q-Bernstein-Kantorovich operators including the shiftedknots of real positive numbers. We design the shifted knots ofBernstein-Kantorovich operators generated by the basic q-calculus. Moreprecisely, we study the convergence properties of our new operators in thespace of continuous functions and Lebesgue space. We obtain the degree ofconvergence with the help of modulus of continuity and integral modulus ofcontinuity. Furthermore, we establish the quantitative estimates ofVoronovskaja-type.

Approximation by q-Bernstein-Stancu-Kantorovich operators with shifted knots of real parameters