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Page 140
An interval is a set of points in the extended real number system which has one of the forms : [ a , b ] { sa < s < b } ... sla < 3 < b } . s The number a is called the left end point and b the right end point of any of these intervals .
An interval is a set of points in the extended real number system which has one of the forms : [ a , b ] { sa < s < b } ... sla < 3 < b } . s The number a is called the left end point and b the right end point of any of these intervals .
Page 141
( ) i = ni + 1 The argument may be repeated by defining Ez = an , -c and choosing appropriate points in the interval ( c , c + ɛz ] . By induction , it is clear that for every integer k = 1 , 2 , ... , there are points a ;, bi with c ...
( ) i = ni + 1 The argument may be repeated by defining Ez = an , -c and choosing appropriate points in the interval ( c , c + ɛz ] . By induction , it is clear that for every integer k = 1 , 2 , ... , there are points a ;, bi with c ...
Page 223
a 5 Let h be a function of bounded variation on the interval ( a , b ) and continuous on the right . Let g be a function defined on ( a , b ) such that the Lebesgue - Stieltjes integral I = Sag ( s ) dh ( s ) exists .
a 5 Let h be a function of bounded variation on the interval ( a , b ) and continuous on the right . Let g be a function defined on ( a , b ) such that the Lebesgue - Stieltjes integral I = Sag ( s ) dh ( s ) exists .
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Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
quences | 26 |
Copyright | |
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