MULTIPLE OPIAL-TYPE INEQUALITIES FOR GENERAL KERNELS WITH APPLICATIONS

作者：Iqbal Sajid^*; Pecaric Josip; Samraiz Muhammad

来源：Journal of Mathematical Inequalities, 2015, 9(2): 381-396.

DOI：10.7153/jmi-09-32

• Opial's inequality
• kernel
• fractional derivative
• Widder's derivatives
• linear differential operators
• Green's function

The main purpose of this paper is to give the general multiple Opial-type inequalities for general kernels. We consider the monotocity and boundedness of the weight functions to prove new inequalities. As applications of our general results we establish new inequalities for Widder's derivatives and linear differential operator. Results from [11] are obtain by applying the Canavati fractional derivatives to our main results.

• 出版日期2015-6