engleski

Higher summability theorems from the weighted reverse discrete inequalities

Motivated by higher integrability theorems due to Muckenhoupt and Gehring, in this paper we establish some related higher summability results for non-increasing sequences, verifying the weighted reverse discrete inequalities. Our main result will be proved by employing the weighted Hardy-type inequality designed and proved for this purpose.

Reverse inequality ; higher summability ; higher integrability

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