Let a function φ is of bounded variation and continuous on [a,b] and a function f is regulated on [a,b]. In this paper we shall show that an arbitrary change in the value of regulated function f at point of discontinuous does not affect the value of ...
Let a function φ is of bounded variation and continuous on [a,b] and a function f is regulated on [a,b]. In this paper we shall show that an arbitrary change in the value of regulated function f at point of discontinuous does not affect the value of the Riemann - Stieltjes integral ∫_(a)^(b)φ(x)df.