在实轴上具有可变指数的 Lebesgue 空间中的 Fejér 平均值

Ebru Altiparmak, Ali Güven
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引用次数: 0

摘要

变指数勒贝格空间是经典勒贝格空间的广义化,在数学分析的许多分支中具有重要意义。特别是,许多数学家都在研究这些空间的直接和反向定理及其改进。本文通过使用适当的 K 函数,建立了属于可变 Lebesgue 空间 L^p(⋅) (R) 的函数 Fejér 平均值收敛率的直接和反向预测。这样,Z. Ditzian 关于经典 Lebesgue 空间 L^p (R)(1) 中的 Fejér 平均值的结果就可以通过适当的 K 函数得到了。
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Reel eksende değişken üslü Lebesgue uzaylarda Fejér ortalamalar
Variable exponent Lebesgue spaces are generalizations of classical Lebesgue spaces and have importance in many branches of Mathematical Analysis. Especially, direct and converse theorems and their improvements are studied by many mathematicians in these spaces. In this article, direct and converse predictions for the rate of convergence of Fejér means of functions belonging to the variable Lebesgue space L^p(⋅) (R) are established by using an appropriate K-functional. In this way, the result of Z. Ditzian on Fejér means in classical Lebesgue spaces L^p (R)(1
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