nondecreasing
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3 matching pages
1: 1.4 Calculus of One Variable
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§1.4(i) Monotonicity
►If for every pair , in an interval such that , then is nondecreasing on . … ►If () () for all , then is nondecreasing (nonincreasing) (constant) on . … ►In this case, and are nondecreasing bounded functions and . …2: 18.2 General Orthogonal Polynomials
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►More generally than (18.2.1)–(18.2.3), may be replaced in (18.2.1) by a positive measure , where is a bounded nondecreasing function on the closure of with an infinite number of points of increase, and such that for all .
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3: 2.8 Differential Equations with a Parameter
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►The regions of validity comprise those points that can be joined to in by a path along which is nondecreasing
or nonincreasing as passes from to .
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