In this paper, we introduce the definition of [Formula: see text]-bonvex/[Formula: see text]-pseudobonvex functions and to show the existence of such functions, we construct nontrivial numerical examples. In the next section, we formulate a pair of second-order symmetric dual model in optimization problem and proved the duality results under [Formula: see text]-bonvexity/[Formula: see text]-pseudobonvexity assumptions. Further, we also construct nontrivial concrete examples which justifying definitions as well as the weak duality theorem presented in the paper.
Abstract-Resources of energy are degrading day by day the concept of energy saving is very important. Solar chargers are very most widely used devices which saves our energy resources. Use of Solar charges is now extremely increased. But the performance and effective output of these chargers depend upon how they are charged and discharged. Concept here is to use the solar Charger Sensor that regulates the charging and discharging process of Solar Chargers. These Solar charger Sensors should consume least power and hence make overall lifespan of these batteries to increase. Virtex6 Field Programmable Gate Array is used to Design the same Sensor for Solar Chargers for LVCMOS family. Frequency Scaling is used and reductions in Power consumed are observed.
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