On a General Class of q-Rational Type Operators
Mathematica Moravica, Tome 19 (2015) no. 2.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this study, we define a general class of rational type operators based on q-calculus and investigate the weighted approximation properties of these operators by using A-statistical convergence. We also estimate the rates of A-statistical convergence of these operators by modulus of continuity and Petree’s K-functional. The operators to be introduced, include some well known q-operators so our results are true in a large spectrum of these operators.
Mots-clés :
q-calculus, rational type operators, A-statistical convergence, weighted spaces, linear positive operators
@article{MM3_2015_19_2_a1, author = {Nurhayat \.Isp{\i}r}, title = {On a {General} {Class} of {q-Rational} {Type} {Operators}}, journal = {Mathematica Moravica}, pages = {19 - 33}, publisher = {mathdoc}, volume = {19}, number = {2}, year = {2015}, url = {https://geodesic-test.mathdoc.fr/item/MM3_2015_19_2_a1/} }
Nurhayat İspır. On a General Class of q-Rational Type Operators. Mathematica Moravica, Tome 19 (2015) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2015_19_2_a1/