lemma A.194 The Fejér kernel and its transform

open in the book · appendices/A-long-proofs.tex:9885 · p. 2886

Rests on

depends_on lemma A.193 A cosine integral ¶
- depends_on equation 7.28 eq:ana-parts ¶
- depends_on lemma A.172 Dirichlet ¶
  - depends_on equation 7.28 eq:ana-parts ¶ ↺
  - depends_on theorem 7.43 Fundamental theorem of calculus, II ¶
    - depends_on definition 7.41 Antiderivative ¶
      - depends_on corollary 7.36 cor:ana-mvt-consequences ¶
      - depends_on definition 7.26 Derivative of a function at a point ¶
    - depends_on theorem 7.42 Fundamental theorem of calculus, I ¶
      - depends_on definition 7.26 Derivative of a function at a point ¶ ↺
      - depends_on theorem 7.40 Continuous functions are integrable ¶
      - depends_on theorem 7.24 Extreme value theorem ¶
      - proves proof ch:05-real-analysis@proof-24 ¶
    - proves proof ch:05-real-analysis@proof-25 ¶
  - proves proof app:A-long-proofs@proof-100 ¶
- proves proof app:A-long-proofs@proof-117 ¶
proves proof app:A-long-proofs@proof-118 ¶

Supports

depends_on theorem A.198 Esseen's smoothing inequality ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	A cosine integral	declared	appendices/A-long-proofs.tex:9902
`depends_on`	←	Esseen's smoothing inequality	declared	appendices/A-long-proofs.tex:10053
`proves`	←	app:A-long-proofs@proof-118	declared	appendices/A-long-proofs.tex:9905