COMBINATORIAL INEQUALITIES AND SUMS INVOLVING BERNSTEIN POLYNOMIALS AND BASIS FUNCTIONS

ŞİMŞEK Y.

JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, cilt.8, sa.3, ss.15-24, 2017 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 3
  • Basım Tarihi: 2017
  • Dergi Adı: JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.15-24
  • Anahtar Kelimeler: Bernstein basis functions, Bernstein polynomials, Bernoulli numbers, Bernoulli polynomials, Stirling numbers, Combinatorial sum, Combinatorial inequalities, Generating functions
  • Akdeniz Üniversitesi Adresli: Evet

Özet

By using the Bernstein basis functions and Bernstein operator with their integral, we derive some combinatorial sums and identities including the Bernoulli numbers and polynomials, the Stirling numbers of the second kind and also some relations. Moreover, we give some inequalities involving combinatorial numbers and binomial coefficients.