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- W4309786673 abstract "The author’s research devoted to the Hilbert’s double series theorem and its various further extensions are the focus of a recent survey article. The sharp version of double series inequality result is extended in the case of a not exhaustively investigated non-homogeneous kernel, which mutually covers the homogeneous kernel cases as well. Particularly, novel Hilbert’s double series inequality results are presented, which include the upper bounds built exclusively with non-weighted ℓp–norms. The main mathematical tools are the integral expression of Mathieu (a,λ)-series, the Hölder inequality and a generalization of the double series theorem by Yang." @default.
- W4309786673 created "2022-11-29" @default.
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- W4309786673 date "2022-11-14" @default.
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- W4309786673 title "Hilbert’s Double Series Theorem’s Extensions via the Mathieu Series Approach" @default.
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- W4309786673 doi "https://doi.org/10.3390/axioms11110643" @default.
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