On Some Turan-type Inequalities for Derivative of a Polynomial
On Some Turan-type Inequalities for Derivative of a Polynomial
Irfan Ahmad Wani(Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University, Phagwara, Punjab, India-144411); Firdose Ahmad(Department of Mathematics, University of Kashmir, Jammu and Kashmir, India); Ishfaq Nazir(Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University, Phagwara, Punjab, India-144411)
34권 1호, 13~19쪽
초록
This paper presents a comprehensive analysis that encompasses the refinement of inequality (0.1) while also extending the well-established Turan's inequality. Furthermore, we broaden the scope of our findings by applying them to the polar derivative of a polynomial. Our investigation reveals that the bounds derived from our results exhibit a significantly enhanced level of precision compared to inequality (0.1). To illustrate this, we provide a numerical example to underscore the superior performance of our findings.
Abstract
This paper presents a comprehensive analysis that encompasses the refinement of inequality (0.1) while also extending the well-established Turan's inequality. Furthermore, we broaden the scope of our findings by applying them to the polar derivative of a polynomial. Our investigation reveals that the bounds derived from our results exhibit a significantly enhanced level of precision compared to inequality (0.1). To illustrate this, we provide a numerical example to underscore the superior performance of our findings.
- 발행기관:
- 강원경기수학회
- 분류:
- 수학