Some Applications of New Modified q-Integral Type Operators
We introduce a new sequence of q-integral operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on unit interval. Weighted statistical approximation theorem, Korovkin type theorems for fuzzy continuous functions, and an estimate for th...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2015/874178 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850229628466102272 |
|---|---|
| author | R. P. Pathak Shiv Kumar Sahoo |
| author_facet | R. P. Pathak Shiv Kumar Sahoo |
| author_sort | R. P. Pathak |
| collection | DOAJ |
| description | We introduce a new sequence of q-integral operators. We show that it is a weighted
approximation process in the polynomial space of continuous functions defined on unit interval. Weighted
statistical approximation theorem, Korovkin type theorems for fuzzy continuous functions, and an estimate for
the rate of convergence for these operators. |
| format | Article |
| id | doaj-art-2a666f70bb044da6a67a3215c28c4c46 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2a666f70bb044da6a67a3215c28c4c462025-08-20T02:04:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252015-01-01201510.1155/2015/874178874178Some Applications of New Modified q-Integral Type OperatorsR. P. Pathak0Shiv Kumar Sahoo1Department of Mathematics, National Institute of Technology, G E Road, Raipur 492010, IndiaDepartment of Mathematics, National Institute of Technology, G E Road, Raipur 492010, IndiaWe introduce a new sequence of q-integral operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on unit interval. Weighted statistical approximation theorem, Korovkin type theorems for fuzzy continuous functions, and an estimate for the rate of convergence for these operators.http://dx.doi.org/10.1155/2015/874178 |
| spellingShingle | R. P. Pathak Shiv Kumar Sahoo Some Applications of New Modified q-Integral Type Operators International Journal of Mathematics and Mathematical Sciences |
| title | Some Applications of New Modified q-Integral Type Operators |
| title_full | Some Applications of New Modified q-Integral Type Operators |
| title_fullStr | Some Applications of New Modified q-Integral Type Operators |
| title_full_unstemmed | Some Applications of New Modified q-Integral Type Operators |
| title_short | Some Applications of New Modified q-Integral Type Operators |
| title_sort | some applications of new modified q integral type operators |
| url | http://dx.doi.org/10.1155/2015/874178 |
| work_keys_str_mv | AT rppathak someapplicationsofnewmodifiedqintegraltypeoperators AT shivkumarsahoo someapplicationsofnewmodifiedqintegraltypeoperators |