Measure of noncompactness of matrix operators on some difference sequence spaces of weighted means

Mursaleen M., KARAKAYA V., Polat H., Şimşek N.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.62, sa.2, ss.814-820, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 62 Sayı: 2
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.camwa.2011.06.011
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.814-820
  • Anahtar Kelimeler: Sequence space, Weighted mean, Matrix transformation, Compact operator, Hausdorff measure of noncompactness, COMPACT-OPERATORS
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

For a sequence x = (x(k)), we denote the difference sequence by Delta x = (xk x(k-1)). Let u = (u(k))(k=0)(infinity) and v = (v(k))(k=0)(infinity) be the sequences of real numbers such that u(k) not equal 0, vk not equal 0 for all k is an element of N. The difference sequence spaces of weighted means lambda(u, v, Delta) are defined as