| Pranab Jyoti Dowari†, Munindra Regon‡, Binod Chandra Tripathy§
Abstract: This paper introduces the spectral properties of positive linear operators under the framework of lacunary statistically relatively uniform convergence. We define the concept of lacunary statistically relatively uniform and establish inclusion and stability results for sequences of positive linear operators. Furthermore, we examine the convergence of spectral radii and provide illustrative examples using classical opera tors. This work extends both Korovkin-type approximation theory and spectral theory into the lacunary statistical relatively uniform setting. Keywords: statistical convergence, lacunary convergence, spectral radius, point spectrum. MSC: 40A05, 60B10, 60B12, 60F17. DOI 10.56082/annalsarscimath.2026.2.81 †pranabdowari@gmail.com, Department of Mathematics, Assistant Professor, Moridhal College, Dhemaji-787057, Assam |
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application,
ISSN ONLINE 2066 – 6594
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