q-Statistical Convergence of Double Sequences of Order λ

Abstract

The quantum calculus or a q-calculus is the generalization as well as modifications of the classical calculus. Over the last twenty years, the subject of q-calculus has served as a connection between mathematics and physics. In recent past there is a substantial increase of research in field of q-calculus because of its applications in many fields such as number theory, combinatorics, special functions basic hyper geometric functions mechanics, theory of relativity and other sciences-quantum theory. In this paper we introduce the concept of q-analoge of statistical convergence of double sequence of order λ˜ and studied some of its geometric properties. Further, we define q-cesaro summability of order λ˜ and gave the relationship between q-strong p-cesaro summability of order λ˜ and the q-Statistical convergence of double sequences of order ˜µ for λ˜ ≤ µ˜ .