Some Majorization Integral Inequalities for Functions Defined on Rectangles Via Strong Convexity

In this paper, we have extended some integral majorization types and generalized Favard’s inequalities from functions defined on intervals to functions defined on rectangles via strong convexity and apply the results to establish some new integral inequalities for functions defined on rectangles

Hermite–Hadamard Type Inclusions for Interval-Valued Coordinated Preinvex Functions

The connection between generalized convexity and symmetry has been studied by many authors in recent years. Due to this strong connection, generalized convexity and symmetry have arisen as a new topic in the subject of inequalities. In this paper, we introduce the concept of interval-valued preinvex functions on the coordinates in a rectangle from the plane and prove Hermite–Hadamard type inclusions for interval-valued preinvex functions on coordinates. Further, we establish Hermite–Hadamard type inclusions for the product of two interval-valued coordinated preinvex functions. These results are motivated by the symmetric results obtained in the recent article by Kara et al. in 2021 on weighted Hermite–Hadamard type inclusions for products of coordinated convex interval-valued functions. Our established results generalize and extend some recent results obtained in the existing literature. Moreover, we provide suitable examples in the support of our theoretical results

Hermite-Hadamard-Type Fractional Inclusions for Interval-Valued Preinvex Functions

We introduce a new class of interval-valued preinvex functions termed as harmonically h-preinvex interval-valued functions. We establish new inclusion of Hermite–Hadamard for harmonically h-preinvex interval-valued function via interval-valued Riemann–Liouville fractional integrals. Further, we prove fractional Hermite–Hadamard-type inclusions for the product of two harmonically h-preinvex interval-valued functions. In this way, these findings include several well-known results and newly obtained results of the existing literature as special cases. Moreover, applications of the main results are demonstrated by presenting some examples

Safe Delivery application with facilitation increases knowledge and confidence of obstetric and neonatal care among frontline health workers in India

Background: Digital learning tools have proliferated among healthcare workers in India. Evidence of their effectiveness is however minimal. We sought to examine the impact of the Safe Delivery App (SDA) on knowledge and confidence among frontline health workers (HW) in India. We also studied whether facilitation to address technical challenges enhanced self-learning. Methods: Staff nurses and nurse-midwives from 30 facilities in two states were divided into control and intervention groups through randomization. Knowledge and confidence were assessed at baseline and after 6 months. Three rounds of facilitation addressing technical challenges in downloading and usage along with reminders about the next phase of learning were conducted in the intervention group. A user satisfaction scale along with qualitative interviews was conducted in the intervention group at the endline along with qualitative interviews on facilitation. Results: The knowledge and confidence of the healthcare workers significantly increased from the baseline to endline by 4 percentage points (P < 0.001). The participants who received facilitation had a higher mean score difference in knowledge and confidence compared to those who did not receive facilitation (P < 0.001). The participants were highly satisfied with the app and video was the most-watched feature. They reported a positive experience of the facilitation process. Conclusion: The effectiveness and acceptability of the SDA indicate the applicability of mHealth learning tools at the primary healthcare level. In a time of rapid digitalization of training, facilitation or supportive supervision needs further focus while on-ground digital training could be invested in to overcome digital illiteracy among healthcare workers

Winter fog experiment over the Indo-Gangetic plains of India

The objectives of the Winter Fog Experiment (WIFEX) over the Indo-Gangetic Plains of India are to develop better now-casting and forecasting of winter fog on various time-and spatial scales. Maximum fog occurrence over northwest India is about 48 days (visibility <1000 m) per year, and it occurs mostly during the December-February time-period. The physical and chemical characteristics of fog, meteorological factors responsible for its genesis, sustenance, intensity and dissipation are poorly understood. Improved understanding on the above aspects is required to develop reliable forecasting models and observational techniques for accurate prediction of the fog events. Extensive sets of comprehensive ground-based instrumentation were deployed at the Indira Gandhi International Airport, New Delhi. Major in situ sensors were deployed to measure surface micrometeorological conditions, radiation balance, turbulence, thermodynamical structure of the surface layer, fog droplet and aerosol microphysics, aerosol optical properties, and aerosol and fog water chemistry to describe the complete environmental conditions under which fog develops. In addition, Weather Forecasting Model coupled with chemistry is planned for fog prediction at a spatial resolution of 2 km. The present study provides an introductory overview of the winter fog field campaign with its unique instrumentation