


Paper's Title:
Hankel Functional Connected to Lemniscate of Bernoulli
Author(s):
K. Ramanuja Rao, Rajnesh Lal and Kaushal Singh
Fiji National University,
Department of Mathematics & Statistics,
P.O. Box 5529, Lautoka,
Fiji.
Email: ramanuja.kotti@fnu.ac.fj
rajnesh.lal@fnu.ac.fj
kaushal.singh@fnu.ac.fj
Abstract:
The aim of present paper is to derive a higher bound (HB) of 3^{rd} order Hankel determinant for a collection of holomorphic mappings connected with exactly to the right side of the lemniscate of Bernoulli, whose polar coordinates form is r^{2} = 2cos^{2}(2θ). The method carried in this paper is more refined than the method adopted by the authors (see [1]), who worked on this problem earlier.
Paper's Title:
Using Direct and Fixed Point Technique of Cubic Functional Equation and its HyersUlam Stability
Author(s):
Ramanuja Rao Kotti, Rajnesh Krishnan Mudaliar, Kaushal Neelam Devi, Shailendra Vikash Narayan
Fiji National University,
Department of Mathematics & Statistics,
P.O. Box 5529, Lautoka,
Fiji.
Email: ramanuja.kotti@fnu.ac.fj
URL: https://www.fnu.ac.fj
Abstract:
In this present work, we introduce a new type of finite dimensional cubic functional equation of the form
where Φ≥4 is an integer, and derive its general solution. The main purpose of this work is to investigate the HyersUlam stability results for the above mentioned functional equation in Fuzzy Banach spaces by means of direct and fixed point methods.
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