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On Harmonic Convex Functions and Integral Inequalities

Thesis Info

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Author

Iftikhar, Sabah

Program

PhD

Institute

COMSATS University Islamabad

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/11173/1/Sabah%20Iftikhar_Maths_2018_Comsats_PRR.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726797194

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Some new classes of harmonic convex functions will be introduced and investigated. These new classes of harmonic convex functions are harmonic nonconvex functions. Some integral inequalities such as Hermite-Hadamard, Trapezoidal, Simpson and Newton type will be derived for these new classes of harmonic convex functions and their variant forms. Inequalities for coordinated harmonic convex functions via harmonic nonconvex functions will be derived. Some special cases, which can be obtained from the main results will be discussed.
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روشؔ صدیقی

روشؔ صدیقی
افسوس ہے کہ گزشتہ مہینہ روش صدیقی نے دفعتہ انتقال کیا، مرحوم اپنے اوصاف اور خصوصیات میں منفرد تھے، جس کی مثال اس دور کے شعراء میں کم ملے گی، وہ جس درجہ کے شاعر تھے، اسی درجہ کے انسان بھی تھے، ان کی موت سے ایک باکمال شاعر ہی نہیں بلکہ اخلاق و شرافت کا ایک پیکر اٹھ گیا، ان میں مشرق تہذیب کی ساری خوبیاں اور وضعداریاں جمع تھیں، شاعری میں ان کا پایہ بہت بلند تھا، وہ صاحب طرز شاعر تھے، سیکڑوں شعراء میں ان کا کلام ممتاز نظر آتا تھا، وہ ان شعراء میں تھے جن سے شاعری کا بھرم اور وقار قائم تھا، ان کو نظم اور غزل دونوں میں یکساں قدرت حاصل تھی، ان کی نظموں میں تغزل کی لطافت و رنگینی اور غزلوں میں تغزل کے کیف و سرور کے ساتھ نظم کا شکوہ و تجمل ہوتا تھا، ان کی فارسی استعداد بہت اچھی تھی، اور اس کا سارا حسن ان کے کلام میں جلوہ گر تھا، ظاہری حسن کے ساتھ معنوی حیثیت سے اس میں بڑی بلندی اور پاکیزگی تھی، اور وہ ان من الشعر الحکمۃ وانٔ من البیان السحر کا مصداق تھا، مذہب میں راسخ العقیدہ اور عملاً پابند مذہب مرد مومن تھے، اس سے ان کو دنیاوی نقصان بھی اٹھانا پڑا، مگر اس کی انھوں نے مطلق پروا نہ کی، ان کی شخصیت بڑی دلآویز تھی، چھوٹا سا قد ہنستا ہوا شگفتہ و شاداب چہرہ اس پر اخلاص و محبت کی موجیں دل کو کھنچ لیتی تھیں، دارالمصنفین کے کارکنوں سے ان کو بڑا مخلصانہ تعلق تھا، جب اعظم گڑھ کے نواح میں آنا ہوتا تو ملنے کے لئے ضرور آتے تھے، ادھر ڈیڑھ دو سال سے ملاقات نہیں ہوئی تھی، ایک دن دفعتہ ریڈیو نے ان کی مرگ ناگہانی کی خبر سنائی، اس کو...

SURVEY ON PARTICIPATION IN PHYSICAL ACTIVITY PROGRAM, PERCEPTIONS AND BARRIERS AMONG YOUNG FEMALES

Aims Of Study: In Pakistan, the level of physical inactivity among adults is 26%. This survey aims to determine the participation in structured physical activity among young females and their perception and barriers towards SPA. Methodology: Purposive sampling was used to gather data from young females aged 16-30 in Karachi. Demographics, perception, and barriers were analyzed using descriptive analysis. Pearson chi-square was used to draw associations between qualitative variables. Results: According to a study of 319 participants, more than half did not participate in structured physical activity. Those who did found it beneficial for their health and happiness. Barriers to participation included transportation and gender-specific facilities, but these were not significantly associated with participation. Limitations & Future Implications: The study did not explore variations in physical activity participation among different ethnic, educational, socioeconomic, or occupational groups. Future studies should investigate these factors among both genders to understand perceptions and barriers to structured physical activity across diverse populations. Originality: To promote physical activity among young females and prevent health issues, it's crucial to recognize their understanding of SPA barriers and perceptions and develop appropriate strategies to overcome them. Conclusion: The barriers to structured physical activity had no significant effect on participation among young females. Also, participation in structured physical activity was not affected by marital status, age, and education level.

Girls Access and Equity in Primary Education in the Slum Areas of Karachi

“Educate a boy, and you educate an individual. Educate a girl, and you educate a community” The present research was conducted to explore the existing situation of girls’ primary education in the slum areas of Karachi, Pakistan. The main objectives of the study were to uncover the reasons behind the problems and challenges of girls’ primary education in the slum areas of Karachi, Pakistan; to identify supporting factors that can ensure equity and access in girls’ primary education; to explore the perceptions of teachers, students, school heads and parents about girls’ education; to review the education policies and reports, and to find out to what extent our educational policy has catered to the basic needs of girls’ education. The literature review comprised of a number of studies, which included research articles, reports of national and international organizations and reviews of educational policies about girls’ primary education in Pakistan. Efforts were made to collect primary sources as well. Current study was qualitative in nature. Researcher used a grounded theory approach and conducted a qualitative survey to describe the real and existing situation of girls’ primary education in the slum areas of Karachi. The population of the study comprised of all school heads, school teachers and girl students of the fourth and fifth grade of girls’ primary schools as well as parents of slum areas of Karachi. The study was confined to eighteen towns of Karachi. Thirty-six schools were selected as participant schools through purposive sampling technique. Seventy-two teachers and thirty-six school heads, two hundred students and one hundred and ten parents were selected for in-depth interviews and focus group discussions. In depth interviews, focus group discussions (FGDs), descriptive field notes and document review were used as a method of data collection. The instruments of data collection were developed and validated. The data was collected during personal visits and was analyzed through thematic analysis method. A theory was developed that explains access and equity of girls’ primary education in slums of Karachi. Results indicated that gender disparity was found in the slum areas of Karachi and the condition of girls’ education is alarming. Several social factors such as socio economic status, religeo-cultural barriers and law and order situation are responsible for the low motivation of girls’ education in the slum areas of Karachi, the resultant of which schools of slum areas have high dropouts and low enrollment ratio. Schools of slum areas had poor infrastructure, lacked basic facilities, had inadequate teaching staff and several management issues. The significant inferences of the study were that girl students were highly motivated towards education but the administrators ran schools in an unlikely miserable manner. The researcher highly recommended that the concerned higher authorities should pay special attention to the promotion of girls’ education of the slum areas of Karachi. Administrative issues such as shortage of teaching staff, inadequate facilities and infrastructure of schools should be solved based on top priority, the government should provide security to the staff of schools and special incentives should be given to the school heads and staff in order to motivate them to work in the slum areas of Karachi.