Results 61 to 70 of about 282 (135)
Fejér-Type Midpoint and Trapezoidal Inequalities for the Operator ω1,ω2-Preinvex Functions
Axioms, 2022 In this work, we obtain some new integral inequalities of the Hermite–Hadamard–Fejér type for operator ω1,ω2-preinvex functions. The bounds for both left-hand and right-hand sides of the integral inequality are established for operator ω1,ω2-preinvex ...
Sikander Mehmood +5 more
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Some weighted trapezoidal type inequalities via h-preinvexity [PDF]
, 2020 In this paper, a new identity is given, some weighted trapezoidal type inequalities via h-preinvexity are established, and several known results are ...
B. Meftah, K. Mekalfa
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New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals
Boundary Value ProblemsThe Hermite–Hadamard–Fejér-type inequality is an effective utensil for examining upper and lower estimations of the integrals of convex functions. In this study, the power mean inequality and Hölder inequality are employed.
Maria Tariq +3 more
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Some Companions of Fejér Type Inequalities Using GA-Convex Functions
Mathematics, 2023 In this paper, we present some new and novel mappings defined over 0,1 with the help of GA-convex functions. As a consequence, we obtain companions of Fejér-type inequalities for GA-convex functions with the help of these mappings, which provide ...
Muhammad Amer Latif
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Green’s Function Approach to Hermite–Hadamard–Mercer Type Fractional Inequalities and Applications
Journal of Mathematics, Volume 2026, Issue 1, 2026.The Hermite–Hadamard–Mercer (HHM) inequality, existing in two well‐established forms, plays a fundamental role in mathematical analysis. This inequality is characterized by three distinct components—namely, the left, middle, and right terms. This study is concerned to obtain novel generalized and refined HHM fractional inequalities by employing for the
Muhammad Zafran +6 more
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Weighted Integral Inequalities for Harmonic Convex Functions in Connection with Fejér’s Result
Axioms, 2022 In this study, on the subject of harmonic convex functions, we introduce some new functionals linked with weighted integral inequalities for harmonic convex functions. In addition, certain new inequalities of the Fejér type are discovered.
Muhammad Amer Latif
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Hermite-Hadamard-Fejér type inequalities for convex functions via fractional integrals [PDF]
, 2015 In this paper, firstly we have established Hermite-Hadamard-Fejér inequality for fractional integrals. Secondly, an integral identity and some Hermite-Hadamard-Fejér type integral inequalities for the fractional integrals have been obtained.
İȘCAN, İmdat
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this note, we introduce the concept of ℏ‐Godunova–Levin interval‐valued preinvex functions. As a result of these novel notions, we have developed several variants of Hermite–Hadamard and Fejér‐type inequalities under inclusion order relations. Furthermore, we demonstrate through suitable substitutions that this type of convexity unifies a variety of
Zareen A. Khan +4 more
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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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Fractional Calculus - Theory and Applications [PDF]
, 2022 In recent years, fractional calculus has led to tremendous progress in various areas of science and mathematics. New definitions of fractional derivatives and integrals have been uncovered, extending their classical definitions in various ways. Moreover,
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