Muhammad Samraiz

Sep 13, 2023 | mdpi.com | Gauhar Rahman |Miguel Vivas-Cortez |Çetin Yildiz |Muhammad Samraiz

first_page settings Font Type: Arial Georgia Verdana Line Spacing:    Column Width:    Open AccessArticle by 1, 2,*, 3,*, 4, 4 and 5,6 1 Department of Mathematics and Statistics, Hazara University, Mansehra 21300, Pakistan 2 Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Católica del Ecuador, Av. 12 de Octubre 1076 y Roca, Quito 170143, Ecuador 3 Department of Mathematics, K.K. Education Faculty, Atatürk University, Erzurum 25240, Turkey 4 Department of Mathematics,...

Jul 6, 2023 | mdpi.com | Miguel Vivas-Cortez |Muhammad Samraiz |Saima Naheed |Muhammad Tanveer Ghaffar

Abstract:The significance of fractional calculus cannot be underestimated, as it plays a crucial role in the theory of inequalities. In this paper, we study a new class of mean-type inequalities by incorporating Riemann-type fractional integrals. By doing so, we discover a novel set of such inequalities and analyze them using different mathematical identities. This particular class of inequalities is introduced by employing a generalized convexity concept.

Apr 22, 2023 | mdpi.com | Muzammil Mukhtar |Iram Shabbir |Muhammad Samraiz |Miguel Vivas-Cortez

Abstract:In this study, we apply fractional calculus on certain convex functions and derive many novel mean-type inequalities by employing fractional calculus and convexity theory. In order to investigate fractional mean inequalities, we first build an identity in this study. Then, with its help, we derive many mean-type inequalities and estimate the error of HH inequality using a generalized version of RL-fractional integrals and certain classes of convex functions.

Feb 10, 2023 | mdpi.com | Muhammad Yaqoob |Muhammad Samraiz |Muzammil Mukhtar |Iram Shabbir

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