Geodesic
Applications of statistical Riemann and Lebesgue integrability of sequence of functions
Raj, K.1 ; Sharma, S.1
1 School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J \(\&\) K, India
Journal of nonlinear sciences and its applications, Tome 16 (2023) no. 1, p. 30-40.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In the present work, we propose to investigate statistical Riemann integrability, statistical Riemann summability, statistical Lebesgue integrability and statistical Lebesgue summability by means of deferred Nörlund and deferred Riesz mean. We discuss some fundamental theorems connecting these concepts with examples. As an application to our newly formed sequences, we introduce Korovkin-type approximation theorems with relevant example for positive linear operators by using Meyer-König and Zeller operators to exhibit the effectiveness of our findings.
DOI : 10.22436/jnsa.016.01.03
Classification : 40A05, 40A30, 40G15
Keywords: Statistical convergence, Riemann integral, Lebesgue integral, deferred Riesz, deferred Nörlund mean, Korovkin-type approximation theorem

Raj, K. 1 ; Sharma, S. 1

1 School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J \(\&\) K, India 
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Raj, K.; Sharma, S. Applications of statistical Riemann and Lebesgue integrability of sequence of functions. Journal of nonlinear sciences and its applications, Tome 16 (2023) no. 1, p. 30-40. doi : 10.22436/jnsa.016.01.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.016.01.03/

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