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Some New Weighted Dynamic Inequalities for Monotone Functions Involving Kernels

Mediterranean Journal of Mathematics • 2020
العودة
معلومات البحث
المؤلفون Samir H. Saker; Ahmed I. Saied ; Mario Krnic
الكلمات المفتاحية Time scale, the weighted Hardy inequality, weighted inequality, kernel, monotone function.
المجلة العلمية Mediterranean Journal of Mathematics
الناشر Samir H. Saker; Ahmed I. Saied ; Mario Krni´
المجلد 17
العدد 2
الصفحات 1-18
publication.type International
رابط البحث Open Link
المواد المرفقة ahmed ibrahim mohammed mahmoud abosaied_Saker2020_Article_SomeNewWeightedDynamicInequali(1).pdf
الملخص
Abstract. In the present article, we derive several new weighted dynamic inequalities for monotone functions involving kernels, some of which are the Hardy-type inequalities. The established inequalities are characterized by appropriate relations for the accompanying weight functions. Our results are time scale extensions of several classical weighted inequalities known from the literature. As an application, we obtain the corresponding discrete weighted inequalities for monotone sequences, which are essentially new.