Let 
be a polynomial of degree 
and for any complex number 
, let 
denote the polar derivative of with respect to a complex number . In this paper, we present an integral inequality for the polar derivative of a polynomial. Our theorem includes as special cases several interesting generalizations of some Zygmund type inequalities for polynomials.
Integral inequalities concerning polynomials with polar derivatives
Mir, Abdullah and Bashir, Shahista
Full PDF
creative_2016_25_1_77_84
Recently posted
-
Some applications of Pick’s Theorem
-
Coincidence and common fixed point theorems for nonself G-almost contractions in Banach spaces endowed with a graph
-
A selfdual generalization of the Theorems of Pascal and Brianchon
-
Fixed point iterations for non-expansive maps and their applications to constrained minimization and feasibility problems in Hilbert spaces
-
Reciprocal distance spectrum of Indu-Bala product of graphs
-
Some classes of distance spaces as generalized metric spaces: terminology, mappings, fixed points and applications in Theoretical Informatics
-
Uniqueness of Shift Polynomials and Derivative Sharing Polynomial
-
Diffeomorphic embedding of Higher-dimensional Hilbert Manifolds into Hilbert spaces
-
Approximating fixed points of the SP*-iteration for generalized nonexpansive mappings in CAT(0) spaces
-
Leverage Centrality in Corona Product of Cycle with some Graphs