Weighted Integrability and Its Applications in Quantum Calculus
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The weighted method of integrability in quantum calculus is introduced in this paper. Its several properties and the q-analogues of some results in summability theory are developed. Furthermore, some classical type Tauberian theorems for the weighted integrability of infinite q-integrals are established.
KeywordsTauberian theorems q-weighted integrability q-calculus Jackson integral
Mathematics Subject Classification40E05 05A30 26A03