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Sahand Communications in Mathematical Analysis، جلد ۲۲، شماره ۲، صفحات ۳۳۳-۳۷۲
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عنوان انگلیسی Analysis of P-Superquadraticity and Related Integer and Fractional Order Inequalities with Applications
چکیده انگلیسی مقاله In this manuscript, we consider the concept of {P-} superquadratic functions and explore their key properties. From these properties, we can establish Jensen's, Mercer-Jensen's, and Hermite-Hadamard (H.H) type inequalities for this class of functions. The  results are confirmed by the numerical computations and graphical illustration with several examples. Besides, a comparison is performed between the inequalities obtained through P-superquadratic functions and the ones acquired through P-convex functions. The analysis reflects that inequalities associated with P-superquadratic functions are far more refined than those deduced from P-convex functions. Additionally, we generalize the work with some fractional versions of the inequalities in question of H.H-type inequality involving Riemann-Liouville (R.L) fractional integral operators of P-superquadratic functions. We present several applications in the study involving type-1 modified Bessel functions, moments of random variables and special means. The novel results provided here not only advance the literature but significantly add new perspectives to it.
کلیدواژه‌های انگلیسی مقاله P-superquadratic function,Jensen&apos,s inequality,Modified Bessel function,Hermite-Hadamard&apos,s inequality,Moment of random variables
نویسندگان مقاله Dawood Khan |
Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan.

Saad Ihsan Butt |
Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan.

نشانی اینترنتی https://scma.maragheh.ac.ir/article_721880_62e890099213f18248ad02aa8d5946e0.pdf
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