Some inequalities arising from analytic summability of functions

Some Inequalities on Statistical Summability

We prove some inequalities related to the concepts of C1(st) -conservative matrices, C1(st) lim sup and C1(st) lim inf which are natural analogues of (c, st ∩ l∞) -matrices, st lim sup and st lim inf respectively.

extensions of some polynomial inequalities to the polar derivative

توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی

Some Inequalities Exhibiting Certain Properties of Some Subclasses of Multivalently Analytic Functions

This paper introduces a new subclass and investigates the sufficiency conditions for a function to belong to this subclass. Certain types of inequalities are also studied exhibiting the well-known geometric properties of multivalently analytic functions in the unit disk. Several interesting consequences of the main results are also mentioned.

Limit summability of ultra exponential functions

In [1] we uniquely introduced ultra exponential functions (uxpa) and denednext step of the serial binary operations: addition, multiplication and power.Also, we exhibited the topic of limit summability of real functions in [2,3]. Inthis paper, we study limit summability of the ultra exponential functions andprove some of their properties. Finally, we pose an unsolved problem aboutthem.

Coefficient Inequalities for Certain Analytic Functions