Hardy inequalities with Bessel pair for Dunkl operator
Using the notion of a Bessel pair, we study the Hardy type inequalities in the setting of Dunkl operator. We also establish a general symmetrization principle for weighted Hardy type inequalities with Dunkl operator in the situation that the standard ...
Nguyen Duy Tuan +2 more
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In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first ...
Set Erhan, Gözpinar Abdurrahman
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Converses of nabla Pachpatte-type dynamic inequalities on arbitrary time scales
Reverse Pachpatte-type inequalities are concave generalizations of the well-known Bennett-Leindler-type inequalities. We establish reverse nabla Pachpatte-type dynamic inequalities taking account of concavity.
Kayar Zeynep, Kaymakçalan Billur
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Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model. [PDF]
Chu YM +6 more
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Simpson, midpoint, and trapezoid-type inequalities for multiplicatively s-convex functions
In this study, we establish new generalizations and results for Simpson, midpoint, and trapezoid-type integral inequalities within the framework of multiplicative calculus. We begin by proving a new identity for multiplicatively differentiable functions.
Özcan Serap
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An Inequality of Ostrowski Type via Pompeiu's Mean Value Theorem
An inequality providing some bounds for the integral mean via Pompeiu's mean value theorem and applications for quadrature rules and special means are ...
Dragomir, Sever Silvestru
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Some new Fejér type inequalities for (h, g; α - m)-convex functions
The study of (h,g;α−m)\left(h,g;\hspace{1.42271pt}\alpha -m)-convex functions extends the classical concept of convexity to more generalized forms, which provide flexible tools for analysis.
Farid Ghulam +3 more
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Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality
In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.
Dragomir S. S.
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An extension of Schweitzer's inequality to Riemann-Liouville fractional integral
This note focuses on establishing a fractional version akin to the Schweitzer inequality, specifically tailored to accommodate the left-sided Riemann-Liouville fractional integral operator.
Abdeljawad Thabet +3 more
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A new Bihari inequality and initial value problems of first order fractional differential equations. [PDF]
Lan K, Webb JRL.
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