Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals

We consider functionals derived from Petrović-type inequalities and establish their superadditivity, subadditivity, and monotonicity properties on the corresponding real n-tuples. By virtue of established results we also define some related functionals and investigate their properties regarding exponential convexity. Finally, the general results are then applied to some particular settings

Combinatorial extensions of Popoviciu\u27s inequality via Abel-Gontscharoff polynomial with applications in information theory

We establish new refinements and improvements of Popoviciu’s inequality for n-convex functions using Abel-Gontscharoff interpolating polynomial along with the aid of new Green functions. We construct new inequalities for n-convex functions and compute new upper bounds for Ostrowski and Grüss type inequalities. As an application of our work in information theory, we give new estimations for Shannon, Relative and Zipf-Mandelbrot entropies using generalized Popoviciu’s inequality

Screening Triticum aestivum L. genotypes for drought stress tolerance under arid land conditions

Screening of drought tolerant genotypes for arid land cultivation is the best approach to avoid yield losses as breeding and selection are time taking techniques. Current experiment was planned to evaluate late sown wheat cultivars potential for drought tolerance and adaptability in Jeddah region, KSA. Four wheat cultivars (Yocoro, Rojo, Faisalabad-2008, F-10 and L-7096) were tested against drought stress applied as (75% and 50%) of total crop water requirement. A 100% water requirement was also applied as control. Data regarding crop growth stages, growth, grain yield and yield contributors were tested by using MSTAT-C. Drought stress significantly decreased all growth and yield traits except harvest index and the effect of water stress was the most severe where 50% of the total water requirement was applied. Both studied crop growth stages (days to complete tillering and days to complete 50% heading) were also affected to applied water stress and effect was more pronounced for days to complete 50% heading. Studied cultivars responded variably for different growth and yield traits. Cultivar Yoco Rojo took minimum days to complete tillering and heading while L-7096 presented the highest plant height and dry biomass accumulation. Faisalabad-2008 reported maximum values for grain yield and yield contributors except spike length that was maximum in Yocoro Rojo. Based on the field evaluation, it’s concluded that Faisalabad-2008 produced significant results for growth and yield traits among studied cultivars and can be successfully grown in arid land conditions under limited water supplies.Â

Weighted Popoviciu type inequalities via generalized Montgomery identities

We obtained useful identities via generalized Montgomery identities, by which the inequality of Popoviciu for convex functions is generalized for higher order convex functions. We investigate the bounds for the identities related to the generalization of the Popoviciu inequality using inequalities for the Čebyšev functional. Some results relating to the Grüss and Ostrowski type inequalities are constructed. Further, we also construct new families of exponentially convex functions and Cauchy-type means by looking at linear functionals associated with the obtained inequalities

The Influence of Spermidine and Biofertilizer Application on the Growth, Yield and Some Active Constituents of Saffron Plant (Crocus sativus L.)

A Filed experiment was conducted during the growing season of 2012-2013 to study the effect   of spraying spermidine at concentrations (0, 50 and 100 mg.L-1) and Biofertilizer applications at levels  (0, 125 and 250 kg.ha-1) and their interactions on (growth plant height, number of leaves , fresh and dry weight of herb, number of flowers and flowers fresh weight), yield (stigmas fresh and dry weight, stigmas yield, number of corms, corms weight and corms yield) and some active constituents (crocin, picrocrocin, and safranal) of saffron plant Crocus sativus L.. The treatments were distributed in a factorial experiment conducted in a Randomized Complete Block Design (RCBD) with three replicates. The means were compared by Duncan’s Multiple Range Test (P?0.05).Both the spermidine and the biofertilizer improved plant growth and yield parameters. Biofertilizer was more effective than spermidine. The concentrations of spermidine at 100 mg.l-1 and biofertilizer level at 250 kg.h-1 strongly affect growth and yield properties. Consequently, the active constituents of stigmas were increased (P?0.05). Active constituent’s content of stigmas was significantly improved by spermidine at 100 mg.l-1×biofertilizer at 250 kg.h-1. Biofertilizer was more effective than spermidine in increasing safranal content compared with crocin and picrocrocin. Keywords: Saffron, Spermidine, Biofertilize

NON-SYMMETRIC STOLARSKY MEANS

Abstract. In this paper we construct n -exponentially convex functions and exponentially convex functions using the functional defined as the difference of the right parts of the HermiteHadamard inequality, for different classes of functions. Applying these results on some starshaped functions, we derive non-symmetric means of Stolarsky type

Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals

We consider functionals derived from Petrović-type inequalities and establish their superadditivity, subadditivity, and monotonicity properties on the corresponding real n-tuples. By virtue of established results we also define some related functionals and investigate their properties regarding exponential convexity. Finally, the general results are then applied to some particular settings

Chemical Analysis and Biological Activities of Salvia lavandulifolia Vahl. Essential Oil

Genus Salvia is one of important genera belonging to family lamiaceae. Most of reported biological activities of Salvia usually attributed to its volatile oil. The chemical composition of essential oil from Salvia lavandulifolia was analyzed by GC/MS. A total of sixty seven components were identified in the oil of S. lavandulifolia representing 95.78% of the total oil. β-caryophyllene (11.87%), spathulenol (8.13%), neomenthol (7.75%), pulegone (6.97%), hexadecanoic acid (6.85%), germacrene-D (5.70%), bicyclogermacrene (4.53%), caryophyllene oxide (3.97%) and humulene (3.29%) were found to be the major constituents. The oil showed no antimicrobial and antileishmanial activities in a concentration up to 200 and20 µg/mL, respectively. It displayed a weak antimalarial activity (47 % inhibition) against P. flaciparium.The oil exhibited anti-inflammatory activity adopting iNOS inhibition assay with IC50of 30 µg/mL, but there is no cytotoxicity demonstrated by the oil at tested concentration of 100 µg/mL. Keywords: S. lavandulifolia, essential oil, antimalaria, antimicrobial, antiinflammtory, anticancer

Some Hermite-Hadamard and midpoint type inequalities in symmetric quantum calculus

The Hermite-Hadamard inequalities are common research topics explored in different dimensions. For any interval $[\mathrm{b_{0}}, \mathrm{b_{1}}]\subset\Re$, we construct the idea of the Hermite-Hadamard inequality, its different kinds, and its generalization in symmetric quantum calculus at $\mathrm{b_{0}}\in[\mathrm{b_{0}}, \mathrm{b_{1}}]\subset\Re$. We also construct parallel results for the Hermite-Hadamard inequality, its different types, and its generalization on other end point $\mathrm{b_{1}}$, and provide some examples as well. Some justification with graphical analysis is provided as well. Finally, with the assistance of these outcomes, we give a midpoint type inequality and some of its approximations for convex functions in symmetric quantum calculus

Development Of Automatic Healthcare Instruction System Via Movement Gesture Sensor For Paralysis Patient

This paper presented an automatic healthcare system where the system able to help and facilitates the paralysis patient to complete their daily life. When a patient suffers from a paralysis attack, the whole or partial of their body maybe disabled to move which means their movement is restricted and they also barely to communicate with anyone because they are unable to speak like a normal person. It will be hard for medical staff to understand what they want to convey and in helping them to manage their daily needs such as eating, drinking, bathing and etc. By developing this project, the health officer can assist the paralyzed patient when they are alerted by the message from patient via GSM network. There are several instruction of movement gesture sensor presented in this paper in order to assist health officer in helping the paralyzed patient to complete their needs. Whenever the patient gives the simple hand movement instruction, then it will be delivered through SMS and the alerted notice will be display on notification board to alert the health officers for assisting the patient