Results 21 to 30 of about 69 (68)
Weighted Ostrowski-Grüss type inequalities [PDF]
, 2015 Several inequalities of Ostrowski-Grüss-type available in the literature are generalized considering the weighted case of them. Involving the least concave majorant of the modulus of continuity we provide upper bounds of our inequalities.
GONSKA, Heiner, ACU, Ana Maria
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Refined Weighted Schweitzer‐Type Inequalities With Applications to Statistical Moments
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we establish a weighted version of the classical Schweitzer integral inequality for positive bounded functions. We first derive a sharp upper bound for the product of two weighted integrals involving a function and its reciprocal. We then obtain a refined form of the inequality containing an explicit nonnegative remainder term, which ...
Rubayyi T. Alqahtani +2 more
wiley +1 more source
Stability Results for Some Functional Equations on 2‐Banach Spaces With Restricted Domains
Journal of Mathematics, Volume 2025, Issue 1, 2025.We have a normed abelian group G,.∗,+ and a 2‐pre‐Hilbert space Y with linearly independent elements u and v. Our goal is to prove that any odd map f:G⟶Y satisfying the inequality ‖f(x) + f(y), z‖ ⩽ ‖f(x + y), z‖, z ∈ {u, v}, for all x,y∈G with ‖x‖∗ + ‖y‖∗ ≥ d and some d ≥ 0, is additive. Then, we examined the stability issue correlated with Cauchy and
M. R. Abdollahpour +3 more
wiley +1 more source
Extension of Karamata inequality for generalized inverse trigonometric functions [PDF]
, 2015 Discussing Ramanujan\u27s Question 294, Karamata established the inequality … which is the cornerstone of this paper. We generalize the above inequality transforming into terms of arctan and artanh. Moreover, we expand the established result to the class
POGÁNY, Tibor K., BARICZ, Árpád
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An analysis of exponential kernel fractional difference operator for delta positivity
Nonlinear EngineeringPositivity analysis for a fractional difference operator including an exponential formula in its kernel has been examined. A composition of two fractional difference operators of order (ν,μ)\left(\nu ,\mu ) in the sense of Liouville–Caputo type operators
Mohammed Pshtiwan Othman
doaj +1 more source
Estimating the Hardy Constant of Nonconcave Homogeneous Quasideviation Means
Annales Mathematicae SilesianaeIn this paper, we consider homogeneous quasideviation means generated by real functions (defined on (0, ∞)) which are concave around the point 1 and possess certain upper estimates near 0 and ∞. It turns out that their concave envelopes can be completely
Páles Zsolt, Pasteczka Paweł
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Complete positivity order and relative entropy decay
Forum of Mathematics, SigmaWe prove that for a GNS-symmetric quantum Markov semigroup, the complete modified logarithmic Sobolev constant is bounded by the inverse of its complete positivity mixing time.
Li Gao +3 more
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Some new bounds of Chebyshev and Grüss-type functionals on time scales
Applied Mathematics in Science and EngineeringIn this work, Korkine and Sonin's identities are defined on arbitrary time scales. These identities are utilized to establish the Chebyshev and Grüss-type inequalities on time scales.
Ammara Nosheen +3 more
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Hyers-Ulam stability of Davison functional equation on restricted domains
Demonstratio MathematicaIn this article, we study the Hyers-Ulam stability of Davison functional equation f(xy)+f(x+y)=f(xy+x)+f(y)f\left(xy)+f\left(x+y)=f\left(xy+x)+f(y) on some unbounded restricted domains.
Park Choonkil +3 more
doaj +1 more source
Applied Mathematics in Science and EngineeringIn this study, midpoint-type integral inequalities for [Formula: see text]-convex function in the third sense, involving Caputo fractional derivatives and Caputo–Fabrizio integral operators, are demonstrated.
Khuram Ali Khan +4 more
doaj +1 more source