In this paper, we study a new concepts these are rough statistically summable triple difference sequences, rough statistically convergent difference triple sequences and rough strongly summable triple difference sequences. Also, we study the rate of the weighted–rough statistical convergence of a triple sequence of positive linear operators. In addition, we study Voronovskaya type theorem. © 2020. Balkan Society of Geometers, Geometry Balkan Press.

Lakshmi Narayan Mishra

Department of Mathematics

School of Advanced Sciences

Vellore Campus

V.N. Mishra

N. Subramanian

S.A.A. Abdulla

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Applied Sciences

Analytic weighted rough statistical convergence with rate of rough convergence and Voronovskaya theorem of triple difference sequences

Journal	Applied Sciences
Publisher	Balkan Society of Geometers
ISSN	14545101