Concerning the existence of the double Stieltjes mean $\sigma $-integral

Bzoch, R.; Morrell, J.S.

Displaying similar documents to “Concerning the existence of the double Stieltjes mean $σ$ -integral”

Bochner product integration

Štefan Schwabik (1994)

Mathematica Bohemica

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A new definition of the product integral is given. The definition is based on a procedure which is analogous to the sum definition of the Bochner integral given by J. Kurzweil and E.J. McShane. The new definition is shown to be equivalent to the seemingly verey different one given by J.D. Dollard and C.N. Friedman in [1] and [2].

On absolutely kth continuous functions

A. Das, B. Lahiri (1980)

Fundamenta Mathematicae

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Bounded variation functions of order k on sequence spaces.

Zhao Linsheng (1993)

Collectanea Mathematica

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In this paper we generalize some results concerning bounded variation functions on sequence spaces.

On integrability in F-spaces

Mikhail Popov (1994)

Studia Mathematica

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Some usual and unusual properties of the Riemann integral for functions x : [a,b] → X where X is an F-space are investigated. In particular, a continuous integrable $l_{p}$ -valued function (0 < p < 1) with non-differentiable integral function is constructed. For some class of quasi-Banach spaces X it is proved that the set of all X-valued functions with zero derivative is dense in the space of all continuous functions, and for any two continuous functions x and y there is a sequence...