On the degree of approximation by Gauss Weierstrass integrals
We obtain the degree of approximation of functions belonging to class Lip(ψ(u,v);p), p>1 using the Gauss Weierstrass integral of the double Fourier series of f(x,y).
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200002489 |
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| _version_ | 1832552646012043264 |
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| author | Huzoor H. Khan Govind Ram |
| author_facet | Huzoor H. Khan Govind Ram |
| author_sort | Huzoor H. Khan |
| collection | DOAJ |
| description | We obtain the degree of approximation of functions belonging to
class Lip(ψ(u,v);p), p>1 using the Gauss Weierstrass integral of the double Fourier series of f(x,y). |
| format | Article |
| id | doaj-art-66af95d52dd84cf2a9ff96d83735614e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-66af95d52dd84cf2a9ff96d83735614e2025-02-03T05:58:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123964564910.1155/S0161171200002489On the degree of approximation by Gauss Weierstrass integralsHuzoor H. Khan0Govind Ram1Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202 002, IndiaWe obtain the degree of approximation of functions belonging to class Lip(ψ(u,v);p), p>1 using the Gauss Weierstrass integral of the double Fourier series of f(x,y).http://dx.doi.org/10.1155/S0161171200002489Lip(Ψ(u,v);p) classGauss Weierstrass integralarithmetic meansJackson operatordegree of approximationFourier seriesHölder's inequality. |
| spellingShingle | Huzoor H. Khan Govind Ram On the degree of approximation by Gauss Weierstrass integrals International Journal of Mathematics and Mathematical Sciences Lip(Ψ(u,v);p) class Gauss Weierstrass integral arithmetic means Jackson operator degree of approximation Fourier series Hölder's inequality. |
| title | On the degree of approximation by Gauss Weierstrass integrals |
| title_full | On the degree of approximation by Gauss Weierstrass integrals |
| title_fullStr | On the degree of approximation by Gauss Weierstrass integrals |
| title_full_unstemmed | On the degree of approximation by Gauss Weierstrass integrals |
| title_short | On the degree of approximation by Gauss Weierstrass integrals |
| title_sort | on the degree of approximation by gauss weierstrass integrals |
| topic | Lip(Ψ(u,v);p) class Gauss Weierstrass integral arithmetic means Jackson operator degree of approximation Fourier series Hölder's inequality. |
| url | http://dx.doi.org/10.1155/S0161171200002489 |
| work_keys_str_mv | AT huzoorhkhan onthedegreeofapproximationbygaussweierstrassintegrals AT govindram onthedegreeofapproximationbygaussweierstrassintegrals |