In this paper, we study the distribution of Fourier coefficients of triple product L-functions associated with certain GL(6) automorphic forms. More precisely, we derive asymptotic formulas for the first moment of Fourier coefficients of the automorphic L-functions attached to these GL(6) forms. As an application, we derive subconvexity bounds for the associated L-functions on the critical line.
We prove a fractional Hermite-Hadamard-Mercer inequality via psi-Hilfer integral operators for the class of h-convex functions, where h is a B-function. Some novel fractional inequalities related to the left and right sides of the Hermite-Hadamard-Mercer inequalities are established for differentiable mappings whose absolute values of the derivatives are h-convex. Moreover, we construct new inequalities for these differentiable functions using Holder's inequality.
This paper investigates mappings with Istrat & cedil;escu type contractive properties within the framework of new extended b-metric spaces. Various generalized contractive operators are defined, including those of order 2, two-sided, type 2, and Ciric-convex contractions. The study establishes several fixed point theorems for these mappings under specific conditions, such as orbital continuity or the boundedness of the function involved in the structure of the new extended b-metric space. These results extend previous findings in the literature.
We establish a Korovkin-type theorem for sublinear operators in the framework of modular spaces by using statistical convergence and provide an illustrative example demonstrating its applicability.
Numerous generalizations of the rudimentary concept of hypergroups have been explored since its introduction by Marty. In this paper, we consider a notable category of non-associative cyclic hyperstructures called single power cyclic LA-hypergroups which are a conception of cyclic hypergroups and LA-semigroups. We enumerate single power cyclic LA-hypergroups of order two (and three) and period two. Additionally, we investigate some features of these single power cyclic LA-hypergroups. We also study various properties of cyclic LA-hypergroups and examine the differences between cyclic groups and cyclic LA-hypergroups.
