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On some dynamic inequalities of Steffensen type on time scales
Author(s) -
Abdeldaim A.,
ElDeeb A. A.,
Agarwal Praveen,
ElSennary H. A.
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4927
Subject(s) - mathematics , inequality , type (biology) , nabla symbol , dynamic equation , scale (ratio) , discrete time and continuous time , mathematical analysis , pure mathematics , calculus (dental) , nonlinear system , statistics , medicine , ecology , physics , dentistry , quantum mechanics , omega , biology
In the present article, we investigate some new inequalities of Steffensen type on an arbitrary time scale using the diamond‐ α dynamic integrals, which are defined as a linear combination of the delta and nabla integrals. The obtained inequalities extend some known dynamic inequalities on time scales and unify and extend some continuous inequalities and their discrete analogues.