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If K is a compact metric space, a continuous function, and a monotone sequence of continuous functions from K into that converges pointwise to f on K, then converges uniformly to f on K.

Abstract. In this work, we discuss various kinds of ℐ₂-uniform convergence for double sequences of functions and introduce the concepts of ℐ₂ and ℐ 2 ∗ -uniform convergence, ℐ₂-uniformly Cauchy ...

Filomat, Vol. 30, No. 3, International Conference on Recent Advances in Pure and Applied Mathematics 2015, ICRAPAM 2015 (2016), pp. 557-567 (11 pages) Abstract. In the present paper we are concerned ...

Double sequence spaces extend the classical notion of sequence spaces to encompass two-indexed structures, thereby providing a robust framework for the analysis of functions and operators in multi ...

A new approach to deferred Cesàro statistical measurable convergence has enabled the formulation of robust Korovkin-type approximation theorems, thereby extending the range of test functions and ...

In this paper we study the accuracy and convergence of state-space approximations of Gaussian processes (GPs) with squared exponential (SE) covariance functions. This kind of approximations is ...