JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, vol.8, no.3, pp.15-24, 2017 (ESCI)
Article / Article
JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS
Emerging Sources Citation Index (ESCI)
Bernstein basis functions, Bernstein polynomials, Bernoulli numbers, Bernoulli polynomials, Stirling numbers, Combinatorial sum, Combinatorial inequalities, Generating functions
Akdeniz University Affiliated:
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.