{"title":"Modified approximation and error estimation for King’s type (p, q)-BBH operators","authors":"M. Mursaleen, Mohd. Ahasan, Asif Khan","doi":"10.1007/s11766-022-4105-6","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, the King’s type modification of (<i>p, q</i>)-Bleimann-Butzer and Hahn operators is defined. Some results based on Korovkin’s approximation theorem for these new operators are studied. With the help of modulus of continuity and the Lipschitz type maximal functions, the rate of convergence for these new operators are obtained. It is shown that the King’s type modification have better rate of convergence, flexibility than classical (<i>p, q</i>)-BBH operators on some subintervals. Further, for comparisons of the operators, we presented some graphical examples and the error estimation in the form of tables through MATLAB (R2015a)</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 2","pages":"199 - 212"},"PeriodicalIF":1.0000,"publicationDate":"2022-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics-A Journal of Chinese Universities Series B","FirstCategoryId":"1089","ListUrlMain":"https://link.springer.com/article/10.1007/s11766-022-4105-6","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, the King’s type modification of (p, q)-Bleimann-Butzer and Hahn operators is defined. Some results based on Korovkin’s approximation theorem for these new operators are studied. With the help of modulus of continuity and the Lipschitz type maximal functions, the rate of convergence for these new operators are obtained. It is shown that the King’s type modification have better rate of convergence, flexibility than classical (p, q)-BBH operators on some subintervals. Further, for comparisons of the operators, we presented some graphical examples and the error estimation in the form of tables through MATLAB (R2015a)
期刊介绍：
Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects.
The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry.
Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.
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