A new Hardy-Mulholland-type inequality with a mixed kernel. (English) Zbl 1454.26041
Summary: By the use of weight coefficients and techniques of real analysis, we establish a new Hardy-Mulholland-type inequality with a mixed kernel and a best possible constant factor in terms of the hypergeometric function. Equivalent forms, an operator expression with the norm and reverses are also considered.
MSC:
| 26D15 | Inequalities for sums, series and integrals |
| 47A62 | Equations involving linear operators, with operator unknowns |
Keywords:
Hardy-Mulholland-type inequality; weight coefficients; equivalent form; hypergeometric function; operator; reverseReferences:
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