Results 1 to 10 of about 224 (90)
Bellman–Steffensen type inequalities [PDF]
Journal of Inequalities and Applications, 2018 In this paper some Bellman–Steffensen type inequalities are generalized for positive measures. Using sublinearity of a class of convex functions and Jensen’s inequality, nonnormalized versions of Steffensen’s inequality are obtained.
Julije Jakšetić +2 more
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Generalized Steffensen’s inequality by Lidstone interpolation and Montogomery’s identity [PDF]
Journal of Inequalities and Applications, 2018 By using a Lidstone interpolation, Green’s function and Montogomery’s identity, we prove a new generalization of Steffensen’s inequality. Some related inequalities providing generalizations of certain results given in (J. Math. Inequal.
Asfand Fahad +2 more
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Generalized Taylor’s Formula and Steffensen’s Inequality
Mathematics, 2023 New Steffensen-type inequalities are obtained by combining generalized Taylor expansions, Rabier and Pečarić extensions of Steffensen’s inequality and Faà di Bruno’s formula for higher order derivatives of the composition.
Asfand Fahad +3 more
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Weaker Conditions for the q-Steffensen Inequality and Some Related Generalizations
Mathematics, 2020 The aim of this paper is to study the q-Steffensen inequality and to prove some weaker conditions for this inequality in quantum calculus. Further, we prove q-analogues of some frequently used generalizations of Steffensen’s inequality and obtain some ...
Ksenija Smoljak Kalamir
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Steffensen's Integral Inequality on Time Scales
Journal of Inequalities and Applications, 2007 We establish generalizations of Steffensen's integral inequality on time scales via the diamond-α dynamic integral, which is defined as a linear combination of the delta and nabla integrals.
Hüseyin Yildirim, Umut Mutlu Ozkan
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Semilocal Convergence of the Extension of Chun's Method [PDF]
, 2021 [EN] In this work, we use the technique of recurrence relations to prove the semilocal convergence in Banach spaces of the multidimensional extension of Chun's iterative method.
Cordero Barbero, Alicia +4 more
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Mathematics, 2022 In this paper, we obtain some new weighted Hermite–Hadamard-type inequalities for (n+2)−convex functions by utilizing generalizations of Steffensen’s inequality via Taylor’s formula.
Josip Pečarić +2 more
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Optimal Generalized Logarithmic Mean Bounds for the Geometric Combination of Arithmetic and Harmonic Means [PDF]
, 2011 In this paper, we answer the question: for 2 (0; 1), what are thegreatest value p = p() and least value q = q(), such that the double inequalityLp(a; b) A(a; b)H1(a; b) Lq(a; b) holds for all a; b > 0?
Long, B. (Bo-Yong)
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Improving Newton-Schulz Method for Approximating Matrix Generalized Inverse by Using Schemes with Memory [PDF]
, 2023 [EN] Some iterative schemes with memory were designed for approximating the inverse of a nonsingular square complex matrix and the Moore-Penrose inverse of a singular square matrix or an arbitrary m x n complex matrix.
Cordero Barbero, Alicia +3 more
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Mathematics, 2021 The primary goal of this our research is to prove several new ∇-conformable dynamic Steffensen inequalities that were demonstrated in recent works. Our results generalize and extend existing results in the literature.
Ahmed A. El-Deeb, Jan Awrejcewicz
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