Some Steffensen-type dynamic inequalities on time scales

Advances in Difference Equations

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[1] 0000 0001 2155 6022, grid.411303.4, Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt;Department of Mathematics, Princess Noura bint Abdulrahman University, Riyadh, Kingdom of Saudi Arabia;

关键词: Steffensen’s inequality;    Dynamic inequality;    α;    Time scale;    26D10;    26D15;    26D20;    34A12;    34A40;   

DOI  :  10.1186/s13662-019-2193-2

来源: publisher

【 摘 要 】

We consider some new Steffensen-type dynamic inequalities on an arbitrary time scale by utilizing the diamond-α dynamic integrals, which are characterized as a combination of the delta and nabla integrals. These inequalities expand some known dynamic inequalities on time scales, bind together and broaden some integral inequalities and their discrete analogs.

【 授权许可】

CC BY