Due to applications in almost every area of mathematics, the theory of convex and nonconvex functions becomes a hot area of research for many mathematicians. In the present research, we generalize the Hermite–Hadamard-type inequalities for
p
,
h
-convex functions. Moreover, we establish some new inequalities via the Caputo-Fabrizio fractional integral operator for
p
,
h
-convex functions. Finally, the applications of our main findings are also given.
Malnutrition is the cellular unbalancing among the supply of energy and nutrients which are essential for maintenance, growth and particular functions. It becomes a major cause of mortality of children less than five years of age. The aim of present study to evaluate the serum analytes such as electrolytes (sodium (Na+), potassium (K+) and calcium (Ca++), creatinine and blood components in malnourished than healthy children. We had collected the data of 300 malnourished children (100 marasmus, 100 kwashiorkor and, 100 healthy children) with age 6-36 months from Children Complex Hospital Multan, Pakistan. Data was analyzed by paired sample t-test by SPSS software. Socio-demographic data of these children's mothers was also collected. Results showed that level of Na+ and creatinine was high whereas, the levels of K+ and Ca++ were lower in both marasmus and kwashiorkor than control subjects. The levels of leukocytes, platelets and hemoglobin (Hb) were also decreased in both diseases. Erythrocytes (RBCs) levels were decreased in marasmus while increased in kwashiorkor. It is concluded that inadequate feeding practices, birth order, poverty, illiterate mothers, low nutritional quality of meals responsible for malnutrition. Feasible strategies are needed to address the dietary inadequacies and chronic malnutrition of rural infants..
History
Social media surveillance is a requirement for governments and intelligence agencies around the world to detect and prevent hate crimes. The dynamic and unstructured nature of the textual content available on social media platforms makes it very complex to extract hate related speech patterns from this content. It also creates ambiguities in the data and therefore, data mining techniques become difficult to apply in this scenario. Several alternative techniques were adopted by different researchers in the past to cope with this problem and to capture and analyze such unstructured text for the purpose of hate speech detection. In this paper, we reviewed, categorized and presented a state-of-the-art of these techniques which were divided in to three categories namely text mining, sentiment analysis and semantics. The challenges in the application of the existing techniques were also discussed and these can be taken up as future directions
In the present paper, we deal with some fractional integral inequalities for strongly reciprocally
p
,
h
-convex functions. We established fractional version of Hermite-Hadamard and Fejér type inequalities for strongly reciprocally
p
,
h
-convex functions. Our results extend and generalize many exiting results of literate.
Convexity plays an important role in many areas of mathematics, especially in the study of optimization problems where they are distinguished by a number of convenient properties. Our aim is to introduce a more extended version of convexity. In this paper, we introduced interval-valued generalized
η
h
convex function and proved Hermite–Hadamard-, Jensen-, and Ostrowski-type inequalities in this generalization. The presented results are generalizations of many existing results of literature.
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