Riemann-Stieltjes type integral based on generated pseudo-operations
نویسندگان
چکیده
We shall consider generated pseudo-operations of the following form: x⊕ y = g(−1) (g(x) + g(y)) , x ̄ y = g(−1) (g(x)g(y)) , where g is a positive strictly monotone generating function and g(−1) is its pseudo-inverse. Using this type of pseudo-operations, the Riemann-Stieltjes type integral will be introduced and investigated.
منابع مشابه
Riemann-StieltjeS integRal BaSed on geneRalized g-SemiRing with Commutative geneRalized geneRated PSeudo-addition and non- Commutative geneRalized geneRated PSeudo-multiPliCation
In this paper, we make a study of the generalization of classical RiemannStieltjes integral in the pseudo-analysis framework. For that, we consider the generalized g-semiring with commutative generalized generated pseudoaddition and non-commutative generalized generated pseudo-multiplication. AMS2000 Subject Classification: 26A39.
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