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- Title
Applications of statistical Riemann and Lebesgue integrability of sequence of functions.
- Authors
Raj, Kuldip; Sharma, Sonali
- Abstract
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.
- Subjects
POSITIVE operators; LINEAR operators; LEBESGUE integral; RIEMANN integral; SUMMABILITY theory
- Publication
Journal of Nonlinear Sciences & Applications (JNSA), 2023, Vol 16, Issue 1, p30
- ISSN
2008-1898
- Publication type
Article
- DOI
10.22436/jnsa.016.01.03