Statistically Riemann integrable and Summable Sequence of Functions via Deferred Cesàro Mean
Tóm tắt
Từ khóa
Tài liệu tham khảo
Al-Salam, W.A.: Operational representations for the Laguerre and other polynomials. Duke Math. J. 31, 127–142 (1964)
Aasma, A., Dutta, H., Natarajan, P.N.: An Introductory Course in Summability Theory. Wiley, Hoboken (2017)
Braha, N.L., Srivastava, H.M., Mohiuddine, S.A.: A Korovkin-type approximation theorem for periodic functions via the statistical summability of the generalized de la Vallée Poussin mean. Appl. Math. Comput. 228, 162–169 (2014)
Dutta, H., Das, S.: On variations via statistical convergence. J. Math. Anal. Appl. 472, 133–147 (2019)
Dutta, H., Rhoades, B.E. (eds.): Current Topics in Summability Theory and Applications, 1st edn. Springer, Singapore (2016)
Fridy, J.A., Orhan, C.: Statistical limit superior and limit inferior. Proc. Am. Math. Soc. 125, 3625–3631 (1997)
Jena, B.B., Paikray, S.K., Dutta, H.: On various new concepts of statistical convergence for sequences of random variables via deferred Cesàro mean. J. Math. Anal. Appl. 487, 1–18 (2020). ((Article ID: 123950))
Korovkin, P.P.: Convergence of linear positive operators in the spaces of continuous functions (in Russian). Doklady Akad. Nauk. SSSR (New Ser.) 90, 961–964 (1953)
Srivastava, H.M., Jena, B.B., Paikray, S.K., Misra, U.K.: A certain class of weighted statistical convergence and associated Korovkin type approximation theorems for trigonometric functions. Math. Methods Appl. Sci. 41, 671–683 (2018)
Srivastava, H.M., Jena, B.B., Paikray, S.K., Misra, U.K.: Generalized equi-statistical convergence of the deferred Nörlund summability and its applications to associated approximation theorems. Rev. Real Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. (RACSAM) 112, 1487–1501 (2018)
Steinhaus, H.: Sur la convergence ordinaire et la convergence asymptotique. Colloq. Math. 2, 73–74 (1951)
Trench, W.F.: Introduction to Real Analysis. Pearson Education, London (2013)