Geodesic
Higher order derivatives in soft analysis
Nečetkie sistemy i mâgkie vyčisleniâ, Tome 14 (2019) no. 1, pp. 34-55

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The paper proposes new approaches to the definition of soft derivatives of higher orders, based not on the reapplication of a soft derivative of the first order, but on the Taylor approximation formula. Two variants of such soft derivatives were implemented, their properties were studied and inverse operations (soft integrals) were constructed and the properties of these operations were established.
Keywords: soft derivatives, soft almost continuity, soft integrals, almost integrals. 
@article{FSSC_2019_14_1_a2,
     author = {D. A. Molodtsov},
     title = {Higher order derivatives in soft analysis},
     journal = {Ne\v{c}etkie sistemy i m\^agkie vy\v{c}isleni\^a},
     pages = {34--55},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FSSC_2019_14_1_a2/}
}
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D. A. Molodtsov. Higher order derivatives in soft analysis. Nečetkie sistemy i mâgkie vyčisleniâ, Tome 14 (2019) no. 1, pp. 34-55. http://geodesic.mathdoc.fr/item/FSSC_2019_14_1_a2/