On a Hilbert-type integral inequality in the subinterval and its operator expression. (English) Zbl 1200.47006
The authors establish a Hilbert-type integral inequality in the subinterval \((a,+\infty)\) of \((0,+\infty)\), with the homogeneous kernel of \(\lambda\)-degree and a best constant factor. As applications, improvements of previous results and some new inequalities with particular kernels are pointed out.
Reviewer: József Sándor (Cluj-Napoca)
MSC:
47A07 | Forms (bilinear, sesquilinear, multilinear) |
26D15 | Inequalities for sums, series and integrals |