نبی کریم ﷺ کے تعدد ازواج کے سماجی اثرات

The seerah of the Holy Prophet (SAW) is a diversified combination of various traits. Among hundreds of the aspects of seerah if analysed various such dimensions appear before us in accordance with the educational and cultural evolution and criticality of time. One of these many is the sociological aspect of the holy seerah of the Prophet (SAW). According to the teachings of the Holy Prophet SAW Islam n Society are quite compatible to each other where marital element holds foremost importance in social circles. There is complete guidance about it in the seerah. The Prophet of Islam himself provided practical model of polygamy which was subjected to severe censure by the non-believers on account of their prejudice, ignorance and dishonesty and which the research scholars of seerah responded to n refuted on logical, convincing and solid grounds. The objective of this thesis is to highlight various positive effects of the polygamy of the Prophet SAW on society and its value in eradicating a number of social evils. Among manifold positive effects of this practice of polygamy include such benefits as the well-being and social elevation of widows, the eradication of the frequent custom of adoption, the extinction of social distinction and discrimination, the removal of tribal n social enmities, the following of the Prophet's model of women's education, the recognition of social work and social workers, and the upbringing of orphans.

On Functions With Nondecreasing Increments

In last few decades, the concept of functions with non-decreasing increments got attention of many mathematicians due to its worth and importance. We would like to establish a connection/relation among functions with non-decreasing increments and arithmetic integral mean, Wright convex functions, convex functions, r?convex functions, Jensen m?convex functions, m?convex functions, m ? r?convex functions, k?monotonic functions, absolutely monotonic functions, completely monotonic functions, Laplace Transform and exponentially convex functions, by using thenite di erence operator as di erent cases ofm h f. We also consider function with nondecreasing increments of third order and get the generalisations of the Levinson''stype inequality and Jensen-Mercer''s-type inequality by using Jensen-Boas inequality. We will deduce some general identities of Popoviciu type for discrete case for sums for function and sequence in two dimension using higher order r divided difference, positivity of these expressions are characterised for higher order r?convex functions. We will also obtain some general identities of Popoviciu type for integral R R P(y; z)f(y; z)dy dz of higher order di erentiable function and positivity of these expressions are characterised for higher order r?convex and completely monotonic functions. We would discuss some applications in terms of generalised Cauchy-type means and exponential convexity as well. We would get the generalisation of discrete identity and inequality ofCeby sev-type and discuss generalisation of integral identities and inequalities ofCeby sev-type and K. Fan-type for higher order r?convex functions with two variables. Further, we will obtain double weighted integrals Montgomery''s identities and using these identities we deduce generalisation of Ostrowski- and Gr uss-type inequalities for double weighted integrals for di erentiable functions of higher order with two variables.