A Remark on “Two-Sided” Monotonicity Condition: An Application to L Convergence
نویسنده
چکیده
In Fourier analysis, since Fourier coefficients are computable and applicable, people have established many nice results by assuming monotonicity of the coefficients. Generally speaking, it became an important topic how to generalize monotonicity. In many studies the generalization follows by this way (see, for example, [8] for definitions): (coefficients) nonincreasing ⇒ quasimonotone ⇒ regularly varying quasimonotone ⇒ O-regularly varying quasimonotone
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