Generalisations of Integral Inequalities of Hermite-Hadamard type through Convexity

In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose derivatives are $s$-$(\alpha,m)$-convex.The generalised integral inequalities contribute some better estimates than some already presented. The inequalities are then applied to numerical integration and some special means.Comment: 11 Page

Some Fejer and Hermite-Hadamard Type Inequalities Considering ²-Convex and (σ, ²)-Convex Functions

In current paper, new Hermite-Hadamard and Fejer type in- ´ equalities are proved by using the ²-convexity and (σ, ²)-convexity of differentiable functions and a positive function symmetric with respect to ²j+k 2 . The results of the paper have been proved to contain previously established results related to differentiable convex functions

Some Hermite-Hadamard Type Inequalities for r-Times Differentiable (σ, t)- Convex Functions

In the present paper, the notion of (σ, t)-convex functions is used to proved some new results on inequalities for r-times differntiable convex functions, which are much same as famous Hermite Hadamard’s integral inequality for convex functions, by applying these inequalities we have constructed inequalities for special means for two positive number

A Complex Lie-Symmetry Approach to Calculate First Integrals and Their Numerical Preservation

We calculated Noether-like operators and first integrals of a scalar second-order ordinary differential equation using the complex Lie-symmetry method. We numerically integrated the equations using a symplectic Runge–Kutta method. It was seen that these structure-preserving numerical methods provide qualitatively correct numerical results, and good preservation of first integrals is obtained

خورشید رضوی: بحیثیت ملی نغمہ نگار

Khursheed ul Hassan Rizvi is a great teacher, researcher, well known critic and prominent poet among his contemporary writers of his era. His poetry encircles around his love with Hazrat Muhammad (Peace be upon Him), humanity, peace and harmony, survival of civilization and the expression of true love and sympathy for his dear home land. These topics are the requirement of the Islamic teachings on one side, and these manifest that Khursheed Rizvi is a true patriot and conscientious writer on the other side. This research Article highlights the specific quality of National songs “Milli Naghmat” of Khursheed Rizvi which comprises of national heroes, Pak India Wars, scenic beauty of Pakistan, moral and religious traditions as well as many sub topics.

Efficacy and safety of oral GnRh antagonists in patients with uterine fibroids: A systematic review

Objective: This review aimed to assess the efficacy and safety of GnRH antagonists in patients with symptomatic uterine fibroids.Data sources: A literature search was performed on PubMed, Web of Science, Embase, Cochrane, and clinicaltrials.gov using the MeSH and Emtree terms Leiomyoma and Gonadotropin-Releasing Hormone. Study selection: All clinical trials that provided efficacy and safety data in clinical terms (i.e., reduction in menstrual bleeding and discomfort, changes in the size of leiomyoma and uterine volume, etc.) were included. We excluded all preclinical studies, case reports, meta-analyses, review articles, and clinical studies irrelevant to the study question.Data extraction and synthesis: Two authors extracted data from 9 clinical studies. The extracted data included the study\u27s characteristics, participants\u27 baseline characteristics, treatment drugs, efficacy measures, and toxicity.Conclusion: Among oral GnRH antagonists, relugolix, elagolix, and linzagolix were safe in patients with uterine fibroids. These drugs, alone, and in combination with estradiol/norethindrone acetate (E2/NETA), showed significantly better efficacy than placebo in improving bleeding, discomfort, uterine/leiomyoma sizes, and quality of life in premenopausal patients with symptomatic uterine fibroids. However, more randomized double blind multicenter clinical trials are needed to confirm these results and to see long-term benefits