The set of functions {Po, P1,..., Pn} in [a, b] is called a set of orthonormal functions, with respect to a weight function w(x), if
The set of functions {Po, P1,..., Pn} in [a, b] is called a set of orthonormal functions, with respect to a weight function w(x), if
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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Question
![1. The set of functions {Po, P1, Pn} in [a, b] is called a set of orthonormal
functions, with respect to a weight function w(x), if
(a) fw(x) Pn(x) Qn(x)dx = 0
(b) fw(x) n(x) Qn(x) dx
=
KIN
2
(c) fw(x) Qn(x) Qn(x)dx = 1
(d) None of the above](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa0dd314b-c4df-4295-8f26-b9e47e0d8e6e%2Fcfc56cea-0f7b-4cfb-ad91-dd115fee8eab%2Fj1sllr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. The set of functions {Po, P1, Pn} in [a, b] is called a set of orthonormal
functions, with respect to a weight function w(x), if
(a) fw(x) Pn(x) Qn(x)dx = 0
(b) fw(x) n(x) Qn(x) dx
=
KIN
2
(c) fw(x) Qn(x) Qn(x)dx = 1
(d) None of the above
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