Some dynamic Hilbert-type inequalities for two variables on time scales

Journal of inequalities and applications

M. Zakarya¹  Ghada AlNemer²  H. A. El Saify³  H. A. Abd El-Hamid³  H. M. Rezk⁴  A. M. Ahmed⁵ 

[1] College of Science, Department of Mathematics, King Khalid University, P.O. Box 9004, 61413, Abha, Saudi Arabia;Department of Mathematics, Faculty of Science, Al-Azhar University, 71524, Assiut, Egypt;Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 105862, 11656, Riyadh, Saudi Arabia;Department of Mathematics and Computer Science, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt;Department of Mathematics, Faculty of Science, Al-Azhar University, 11884, Nasr City, Egypt;Department of Mathematics, Faculty of Science, Al-Azhar University, 11884, Nasr City, Egypt;Mathematics Department, College of Science, Jouf University, 2014, Sakaka, Kingdom of Saudi Arabia;

关键词: Hilbert’s inequality;    Young’s inequality;    Hölder’s inequality;    Jensen’s inequality;    Weights;    Kernel;    Time scales;    26D15;    34A40;    39A12;    34N05;   

DOI  :  10.1186/s13660-021-02559-1

来源: Springer

【 摘 要 】

In this paper, we discuss some new Hilbert-type dynamic inequalities on time scales in two separate variables. We also deduce special cases, like some integral and their respective discrete inequalities.

【 授权许可】

CC BY