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Fejér-Type Inequalities for Some Classes of Differentiable Functions
Mathematics, 2023 We let υ be a convex function on an interval [ι1,ι2]⊂R. If ζ∈C([ι1,ι2]), ζ≥0 and ζ is symmetric with respect to ι1+ι22, then υ12∑j=12ιj∫ι1ι2ζ(s)ds≤∫ι1ι2υ(s)ζ(s)ds≤12∑j=12υ(ιj)∫ι1ι2ζ(s)ds.
Bessem Samet
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Sustainable Development, Volume 34, Issue 2, Page 2221-2237, April 2026.ABSTRACT Climate change is a major challenge requiring farmers to adopt sustainable practices. As climate policies often depend on voluntary action, understanding what motivates farmers is essential. This study applies the Theory of Reasoned Goal Pursuit (TRGP) to assess key factors influencing Hungarian farmers' intentions to mitigate climate change ...
Manal Hamam +4 more
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Fejer-Hadamard Inequlality for Convex Functions on the Coordinates in a Rectangle from the Plane
International Journal of Analysis and Applications, 2016 We give Fejer-Hadamard inequality for convex functions on coordinates in the rectangle from the plane. We define some mappings associated to it and discuss their properties.
G. Farid, M. Marwan, Atiq Ur Rehman
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Fractal and Fractional, 2021 Integral operators of a fractional order containing the Mittag-Leffler function are important generalizations of classical Riemann–Liouville integrals. The inequalities that are extensively studied for fractional integral operators are the Hadamard type ...
Ghulam Farid +2 more
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On a Sharp Fractional Integrals Inequality
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper establishes a new class of sharp trapezoidal‐type inequalities for absolutely continuous functions whose derivatives belong to L2([a, b]). By employing the generalized Chebyshev functional and the framework of Riemann–Liouville fractional integrals, we derive an identity that characterizes the difference between the average of function ...
Mohsen Rostamian Delavar +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper develops a family of Hermite–Hadamard–Mercer‐type inequalities within the framework of generalized conformable fractional calculus. By interpreting generalized conformable fractional integrals as weighted integral means depending on the order parameter, we derive refined two‐sided bounds for coordinated convex functions that incorporate ...
Jen Chieh Lo, Mohammad Rezwan Habib
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On Hermite–Hadamard–Fejér Inequalities Within Postquantum Coordinate Frameworks
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate new forms of Hermite–Hadamard–Fejér type inequalities on the coordinates within the framework of postquantum (p,q)‐calculus. By extending the classical Hermite–Hadamard–Fejér inequalities to the setting of coordinated convex functions, we establish several novel integral inequalities involving (p,q)‐derivatives and (p,q ...
Jen Chieh Lo, Lei Su
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne‐type inequalities are derived for functions whose second derivatives inside the absolute value are convex. Furthermore, the table has also been
Muhammad Bilal Ahmed +4 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper introduces and investigates novel fractional integral operators featuring the extended Mittag‐Leffler function in the kernel. After establishing the core properties of these operators, we derive the corresponding Hadamard and Fejér–Hadamard inequalities.
Maged Bin-Saad +4 more
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On the Theory of n‐Polynomial ϕ‐Convex Functions
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper introduces a novel extension of n‐polynomial convex functions, referred to as “n‐polynomial ϕ‐convex functions”. The proposed concept generalizes the existing notion of n‐polynomial convexity introduced in the recent literature. Within this new structural framework, we derive several novel inequalities and show that the absolute derivative ...
Yuanheng Wang +4 more
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