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Content available remote On the zeros of an analytic function
Content available remote A class of univalent functions involving a differentio-integral operator
This paper focuses on a generalized linear operator Im which is a combination of both differential and integral operators. Involving this operator, a class Tsk(...) with respect to k-symmetric points is defined. Results based on coefficient inequalities and bounds for this class are obtained. Various integral representations and some consequent results for TS(...) class are also determined. Further, results on partial sums are discussed.
A simple, rapid, and specific reversed-phase HPLC method has been developed for simultaneous analysis of withaferin-A and 6-gingerol in a polyherbal formulation containing Withania somnifera and Zingiber officinalis extracts. HPLC analysis was performed on a C 18 column using a 40:60 ( v / v ) mixture of acetonitrile and water as isocratic mobile phase at a flow rate of 1.5 mL min −1 . UV detection was at 227 nm for withaferin-A and 278 nm for 6-gingerol. The method was validated for accuracy, precision, linearity, specificity, and sensitivity in accordance with International Conference on Harmonization guidelines. Validation revealed the method is specific, accurate, precise, reliable and reproducible. Good linear correlation coefficients ( r 2 > 0.9996) were obtained for calibration plots in the ranges tested. Limits of detection were 0.2 and 0.4 μg and limits of quantification were 0.5 and 1.0 μg for withaferin-A and 6-gingerol, respectively. Intra and inter-day RSD of retention times and peak areas were less than 2.1%. Recovery was between 94.5 and 98.8% for withaferin-A and 94.2 and 102.4% for 6-gingerol. The established HPLC method is appropriate and the two markers are well resolved, enabling efficient quantitative analysis of withaferin-A and 6-gingerol. The method was successfully used for quantitative analysis of these two marker constituents in a marketed polyherbal formulation.
A simple, rapid, and specific reversed-phase HPLC method with DAD detection has been used for analysis of two flavonoids, quercetin and kaempferol, in Cissus quadrangularis Linn. The flavonoids were well resolved within 10 min, and quantification was achieved, on an endcapped C 18 column at 370 nm with acetonitrile-phosphate buffer (pH 3.4, adjusted with glacial acetic acid) 60:40 (v/v) as isocratic mobile phase at a flow rate of 1.0 mL min -1. The method was validated for limit of detection, limit of quantification, linearity, precision, accuracy, and recovery. Linearity was demonstrated over the range 0.75 to 10 µg mL -1 for quercetin and 1.0 to 10 µg mL -1 for kaempferol with good correlation coefficients ( r 2 > 0.998). Detection limits were 0.075 and 0.10 µg mL -1 for quercetin and kaempferol respectively. Recovery was 98.0-105.3% for quercetin and 95.0-101.1% for kaempferol. The method was successfully applied to analysis of two flavonoids in four samples of Cissus quadrangularis Linn.
Content available remote Rate of approximation for integrated Szasz-Mirakyan operators
Recently Jain et al. [3] proposed an integral modification of Szasz-Mirakyan operators Sn,alpha(f,x),alpha > O and studied some direct approximation theorems in simultaneous approximation. The present paper deals with the rate of approximation of such operators, for functions which have derivatives of bounded variation.
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