دورية أكاديمية

On some new Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in (p, q)-calculus with applications

التفاصيل البيبلوغرافية
العنوان: On some new Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in (p, q)-calculus with applications
المؤلفون: You Xue-Xiao, Ali Muhammad Aamir, Kalsoom Humaira, Soontharanon Jarunee, Sitthiwirattham Thanin
المصدر: Open Mathematics, Vol 20, Iss 1, Pp 707-723 (2022)
بيانات النشر: De Gruyter, 2022.
سنة النشر: 2022
المجموعة: LCC:Mathematics
مصطلحات موضوعية: hermite-hadamard inequality, ostrowski inequality, (p, q)-integral, post-quantum calculus, s-convex functions, 26d10, 26d15, 26a51, Mathematics, QA1-939
الوصف: In this study, we establish some new Hermite-Hadamard type inequalities for s-convex functions in the second sense using the post-quantum calculus. Moreover, we prove a new (p,q)\left(p,q)-integral identity to prove some new Ostrowski type inequalities for (p,q)\left(p,q)-differentiable functions. We also show that the newly discovered results are generalizations of comparable results in the literature. Finally, we give application to special means of real numbers using the newly proved inequalities.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2391-5455
Relation: https://doaj.org/toc/2391-5455
DOI: 10.1515/math-2022-0037
URL الوصول: https://doaj.org/article/c3e59d7d373b45c7bccbf3cedfce33f0
رقم الأكسشن: edsdoj.3e59d7d373b45c7bccbf3cedfce33f0
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:23915455
DOI:10.1515/math-2022-0037