NEW GENERALIZATIONS OF NEMETHMOHAPATRA TYPE INEQUALITIES ON TIME SCALES


AGARWAL R. P. , Mahmoud R. R. , Saker S. H. , TUNÇ C.

ACTA MATHEMATICA HUNGARICA, cilt.152, ss.383-403, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 152 Konu: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s10474-017-0718-2
  • Dergi Adı: ACTA MATHEMATICA HUNGARICA
  • Sayfa Sayıları: ss.383-403

Özet

Some new dynamic inequalities on time scales are established, that reduce in the discrete and the continuous cases to classical inequalities named after Nemeth and Mohapatra, respectively. The new generalized inequalities resemble intensive classical inequalities known in the literature such as Beesack type inequalities, Copson type inequalities and Hardy-Littlewood type inequalities. The main results will be proved by employing the time scales Holder inequality and the time scales power rules for integrations that have been proved earlier.