Results 51 to 60 of about 357 (173)
Refinements of quantum Hermite-Hadamard-type inequalities
Open Mathematics, 2021 In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.
Budak Hüseyin +3 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this work, we establish several new variants of the Hermite–Hadamard integral inequality, together with various product‐type extensions, by employing the Erdélyi–Kober fractional integral operator for mappings defined on harmonic sets. To demonstrate the validity and effectiveness of the obtained results, we present nontrivial numerical examples ...
Yahya Almalki +5 more
wiley +1 more source
An Elementary Proof for the Decomposition Theorem of Wright Convex Functions
Annales Mathematicae Silesianae, 2020 The main goal of this paper is to give a completely elementary proof for the decomposition theorem of Wright convex functions which was discovered by C. T. Ng in 1987. In the proof, we do not use transfinite tools, i.e., variants of Rodé’s theorem, or de
Páles Zsolt
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On a new generalization of some Hilbert-type inequalities
Open Mathematics, 2021 In this work, by introducing several parameters, a new kernel function including both the homogeneous and non-homogeneous cases is constructed, and a Hilbert-type inequality related to the newly constructed kernel function is established.
You Minghui, Song Wei, Wang Xiaoyu
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Some new integral inequalities of Hermite-Hadamard type for (log; (α;m))-convex functions on coordinates [PDF]
, 2015 In the paper, the authors introduce a new concept "log; (α;m))-convex functions on the co-ordinates on the rectangle of the plane" and establish some new integral inequalities of Hermite-Hadamard type for (log; (α;m))-convex functions on the co-ordinates
XI, Bo-Yan, QI, Feng
core
Open Mathematics, 2021 In this study, we first obtain a new identity for generalized fractional integrals which contains some parameters. Then by this equality, we establish some new parameterized inequalities for co-ordinated convex functions involving generalized fractional ...
Kalsoom Humaira +3 more
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Trapezoid Inequality for Operator‐Valued Functions in Hilbert Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.Let K;·,· denote a complex Hilbert space, and let LK represent the Banach C∗‐algebra of bounded linear operators acting on K. For any operator A∈LK, the modulus is defined by A:=A∗A12/. The primary contribution of this work is the derivation of the following significant result: Assuming ζ:δ1,δ2⟶C is an integrable function and T:δ1,δ2⟶LK is a strongly ...
Salma Aljawi +4 more
wiley +1 more source
New version of generalized Ostrowski-Gruss type inequality
, 2021 Ostrowski inequality is one of the celebrated inequalities in Mathematics. The main purpose of our study is to generalize the result of Ostrowski-Gru¨ss type inequality for first differentiable mappings and apply it to probability density functions ...
BILAL, Muhammad +2 more
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On discrete inequalities for some classes of sequences
Open MathematicsFor a given sequence a=(a1,…,an)∈Rna=\left({a}_{1},\ldots ,{a}_{n})\in {{\mathbb{R}}}^{n}, our aim is to obtain an estimate of En≔a1+an2−1n∑i=1nai{E}_{n}:= \left|\hspace{-0.33em},\frac{{a}_{1}+{a}_{n}}{2}-\frac{1}{n}{\sum }_{i=1}^{n}{a}_{i},\hspace{-0 ...
Jleli Mohamed, Samet Bessem
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Novel Fractional Simpson–Mercer‐Type Inequalities and Their Applications
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we establish a Mercer‐type identity for the Riemann–Liouville fractional integral. By using this identity, we derive several fractional Simpson–Mercer‐type inequalities for functions whose third derivatives satisfy convexity‐type assumptions in absolute value. Related estimates are also obtained under boundedness and Lipschitz continuity
Arslan Munir +6 more
wiley +1 more source