Hardy Inequality in Variable Exponent Lebesgue Spaces [PDF]
Mathematics Subject Classification: 26D10, 46E30, 47B38We prove the Hardy inequality and a similar inequality for the dual Hardy operator for variable exponent Lebesgue ...
Stefan Samko +5 more
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New integral inequalities of Hermite–Hadamard type in a generalized context
In this paper, we obtained new integral inequalities of theHermite–Hadamard type for convex and quasi–convex functions in a generalizedcontext.AMS (MOS) Subject Classification Codes:26D10, 26A51, 39B62, 26A33Key Words: Hermite–Hadamard ...
Juan Eduardo Napoles Valdes; UNNE, FaCENA, Ave. Libertad 5450, Corrientes 3400 +2 more
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A new variant of Jensen inclusion and Hermite-Hadamard type inclusions for interval-valued functions [PDF]
In this research, we give a new version of Jensen inclusion for interval-valued functions, which is called Jensen-Mercer inclusion. Moreover, we establish some new inclusions of the Hermite-Hadamard-Mercer type for interval-valued functions.
Sitthiwirattham, Thanin +6 more
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Weighted Inequalities of Milne‐Type and Applications: Bridging Classical and Fractional Integrals
In this study, weighted Milne‐type inequalities are derived for classical integrals, and by selecting special weight functions, several Milne‐type inequalities are presented for well‐known fractional integrals, such as Riemann–Liouville fractional integrals, conformable fractional integrals, and tempered fractional integrals.
Hüseyin Budak, Marko Kostic
wiley +1 more source
On some generalized integral inequalities for φ-convex functions [PDF]
The main goal of the paper is to state and prove some new general inequalities for φ-convex function.
BÜYÜKEKEN, Meltem +2 more
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Opial type inequalities for double Riemann-Stieltjes integrals
In this paper, we establish some Opial type inequalities for Riemann-Stieltjes integrals of functions with two variables. The obtained inequalities generalize those previously demonstrated (see [2])
Budak Hüseyin
doaj +1 more source
Milne‐Type Inequalities in the Context of Conformable Fractional Multiplicative Integrals
This paper examines Milne inequalities in the setting of conformal fractional multiplicative integrals, which represent a modern extension of traditional fractional calculus. Drawing on advances in multiplicative analysis and non‐Newtonian calculus, we establish a new integral identity that forms the basis for deriving Milne‐type inequalities for ...
İrem Çay +3 more
wiley +1 more source
On some Newton’s type inequalities for differentiable convex functions via Riemann-Liouville fractional integrals [PDF]
In this paper, we establish a new integral identity involving Riemann-Liouville fractional integrals and differentiable functions. Then, we use the newly established identity and prove several Newton’s type inequalities for differentiable convex ...
Ali, Muhammad Aamir +6 more
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In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for kk-fractional integrals involving rr-times differentiable preinvex functions.
Zafar Fiza, Mehmood Sikander, Asiri Asim
doaj +1 more source
Fundamentals of Right Hahn q‐Symmetric Calculus and Related Inequalities
Hahn symmetric quantum calculus is a generalization of symmetric quantum calculus. Motivated by the Hahn symmetric quantum calculus, we present the right Hahn symmetric derivative and integral, which are novel definitions for derivative and definite integral in Hahn symmetric quantum calculus.
Muhammad Nasim Aftab +3 more
wiley +1 more source

