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nickkatz2018
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Integral analog of an inequality for the Cesàro mean of a sequence
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Integral analog of an inequality for the Cesàro mean of a sequence
Thank you very much. I see that that this is similar to the proof of the corresponding inequality for sequences.
revised
Integral analog of an inequality for the Cesàro mean of a sequence
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Integral analog of an inequality for the Cesàro mean of a sequence
No, $f$ oscillates in sign infinitely often. I added this in the problem description.
asked
Integral analog of an inequality for the Cesàro mean of a sequence
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Approve
Approximate identities: a converse question
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Approximate identities: a converse question
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Approximate identities: a converse question
If $f$ is measurable, then the convolution function $K_{\lambda}*f$ is well-defined. I have added the condition that it is finite valued at every $x$.
revised
Approximate identities: a converse question
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Approximate identities: a converse question
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 Custodian
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 Editor
reviewed
Edit
Preservation of $(C,1)$ summability of a function, when multiplied by a bounded strictly decreasing function
revised
Preservation of $(C,1)$ summability of a function, when multiplied by a bounded strictly decreasing function
Minor Math Jaxing (bracket size and dx) and minor formatting (emphasized questions and remarks).
comment
Preservation of $(C,1)$ summability of a function, when multiplied by a bounded strictly decreasing function
If $f$ were nonnegative, then its $(C,1)$ summability would imply its integrability, and the question would then have an affirmative answer.
comment
Preservation of $(C,1)$ summability of a function, when multiplied by a bounded strictly decreasing function
No, $f$ is not nonnegative. I should have ruled out $L = -\infty$ too. I shall edit it accordingly.
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asked
Preservation of $(C,1)$ summability of a function, when multiplied by a bounded strictly decreasing function