Cesàro and statistical derivative. (English) Zbl 1513.40059
Summary: In this study, we introduce the notions of Cesàro, strongly Cesàro and statistical derivatives for real valued functions. These notions are based on the concepts of Cesàro and statistical convergence of a sequence. Then we establish some relationships between strongly Cesàro derivative and statistical derivative.
MSC:
| 40G05 | Cesàro, Euler, Nörlund and Hausdorff methods |
| 26A24 | Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems |
| 26A27 | Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives |
| 40A05 | Convergence and divergence of series and sequences |
Keywords:
Cesàro derivative; statistical derivative; Cesàro continuity; real-valued functions; convergence of a sequenceReferences:
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