{"title":"通过延迟 Ces`aro 平均值的马丁格尔序列的某些统计收敛标准及其一些应用","authors":"Hemen Dutta, B. Jena, N. Pahari, S. K. Paikray","doi":"10.3126/jnms.v7i1.67486","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate and study various new notions of statistical convergence criteria of martingale sequences via deferred Ces`aro mean. We then establish several results concerning the relation among these beautiful and potentially useful concepts. Moreover, our proposed techniques contributed to finding several new approximation results of the Korovkin-type for martingale sequences over complete normed linear spaces. We also present some concrete examples to establish the stronger side of our results.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":" 38","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Certain Statistical Convergence Criteria for Martingale Sequences via Deferred Ces`aro Mean with Some Applications\",\"authors\":\"Hemen Dutta, B. Jena, N. Pahari, S. K. Paikray\",\"doi\":\"10.3126/jnms.v7i1.67486\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we investigate and study various new notions of statistical convergence criteria of martingale sequences via deferred Ces`aro mean. We then establish several results concerning the relation among these beautiful and potentially useful concepts. Moreover, our proposed techniques contributed to finding several new approximation results of the Korovkin-type for martingale sequences over complete normed linear spaces. We also present some concrete examples to establish the stronger side of our results.\",\"PeriodicalId\":401623,\"journal\":{\"name\":\"Journal of Nepal Mathematical Society\",\"volume\":\" 38\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Nepal Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3126/jnms.v7i1.67486\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nepal Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3126/jnms.v7i1.67486","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Certain Statistical Convergence Criteria for Martingale Sequences via Deferred Ces`aro Mean with Some Applications
In this paper, we investigate and study various new notions of statistical convergence criteria of martingale sequences via deferred Ces`aro mean. We then establish several results concerning the relation among these beautiful and potentially useful concepts. Moreover, our proposed techniques contributed to finding several new approximation results of the Korovkin-type for martingale sequences over complete normed linear spaces. We also present some concrete examples to establish the stronger side of our results.