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The uniform convergence of a double sequence of functions at a point and Korovkin-type approximation theorems
Sevda YıldızFadime DirikAna Maria AcuKamil Demircisubject
010101 applied mathematicsPure mathematicsGeneral MathematicsUniform convergence010102 general mathematicsPoint (geometry)0101 mathematicsType (model theory)01 natural sciencesDouble sequenceMathematicsdescription
Abstract In this paper, we introduce an interesting kind of convergence for a double sequence called the uniform convergence at a point. We give an example and demonstrate a Korovkin-type approximation theorem for a double sequence of functions using the uniform convergence at a point. Then we show that our result is stronger than the Korovkin theorem given by Volkov and present several graphs. Finally, in the last section, we compute the rate of convergence.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-10-22 | Georgian Mathematical Journal |