We derive bounds on the variance of a random variable in terms of its arithmetic and harmonic means. Both discrete and continuous cases are considered, and an operator version is obtained. Some refinements of the Kantorovich inequality are obtained. Bounds for the largest and smallest eigenvalues of a positive definite matrix are also obtained.

This paper presents the design and FPGA implementation of a 32bit configurable micro controller. The micro controller contains a 32-bit processor based on RISC-V Instruction Set Architecture, Cache memories, interrupt support, multiplexed buses and a Debug Unit. The processor support all integer arithmetic. Cache memories have various sizes upto 16kB. Prioritized stacked interrupt control is pr...

the arithmetic mean roughness, ra, values were determined by scanning electron microscopic technique of different core models (furazolidone, nitrofurantoin and acetyl salicylic acid), coated by hpmc film forming solution containing 10 wt% of various molecular weight pegs. the results showed that both plasticizer molecular weight and core surface free energy could have a significant influence on...

by using generalized salagean differential operator a newclass of univalent holomorphic functions with fixed finitely manycoefficients is defined. coefficient estimates, extreme points,arithmetic mean, and weighted mean properties are investigated.