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Journal of Inequalities and Applications
Scopus
ISSN 1025-5834 · SpringerOpen · 4,370 articles in the index
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Journal Article
Matrix Hermite–Hadamard type inequalities for bivariate convex functions
Abstract Considering convexity as well as matrix convexity for bivariate functions, we investigate the well-known Hermite–Hadamard inequality. In the case of separately convex bivariate functions, we present some majorization and norm inequalities. In the case of matrix convexity, a series of…
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Journal Article
Lower estimations of pure greedy algorithm with shrinkage
Abstract Existing studies on the PGA have established its sharp convergence rate. Among its variants, the PGA with Shrinkage was shown in previous research to admit an upper bound, which may indeed be sharp. Motivated by this conjecture, we construct a worst-case dictionary and an initial iterate…
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Journal Article
Extended forms of Legendre-Laguerre-based hybrid polynomials and their characteristics via fractional operator approach
Abstract This study presents an extensive generalization of Legendre–Laguerre polynomials along with their Appell-type counterparts. Using the quasi-monomiality approach, we establish core analytical features, including recurrence relations, associated multiplicative and differential operators, and…
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Journal Article
A Bézier variant of ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich-Stancu operators
Abstract This paper mainly introduces ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich-Stancu-Bézier operators that are a natural continuation of Stancu-type ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich operators constructed by Q.-B. Cai et al. (Enhanced approximation techniques…
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Journal Article
New generalized numerical radius inequalities for Hilbert space operators
Abstract We define generalized real and imaginary parts of an operator, as well as the generalized w h , g ( ⋅ ) $w_{h,g}(\cdot )$ numerical radius, which reduces to the t-weighted numerical radius for suitable functions h , g $h,g$ . Usual properties regarding the new numerical radius are shown…
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Journal Article
On a more accurate Mulholland-type inequality with different internal variables involving two partial sums
Abstract By using the techniques of real analysis, a new more accurate Mulholland-type inequality with two different internal variables involving two partial sums is given. The equivalent conditions of the best value related to several parameters are provided, and some particular inequalities are…
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Journal Article
Caputo-hybrid fractional approach to estimates of corrected Euler-Maclaurin-type with computational analysis and applications
Abstract In this manuscript, firstly we introduce a new auxiliary result for the Caputo-Hybrid fractional operator ( P c a p ) $(P_{cap})$ . As a result, we obtain improved hybrid estimates of Euler-Maclaurin-type for both first- and -second-order differentiable convex functions within the…
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Journal Article
Computational method for fractional-order optimal perimeter control with two-region urban traffic networks
Abstract Perimeter control—metering inter-regional flows so that vehicular accumulation is held at a target set-point—has emerged as a cornerstone macroscopic instrument for congestion relief in urban road networks. To endow the macroscopic flow dynamics with hereditary effects, we formulate a…
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Journal Article
Reliability analysis of parallel systems with dependent components and Archimedean copulas
Abstract In this paper, preservation properties of reversed hazard rate order and a relative overall reversed hazard rate order under the structure of a parallel system with dependent components having lifetimes coupled by an Archimedean copula are established. We also study preservation properties…
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Journal Article
Generalized multiplicative h-fractional integrals and derivatives with Hermite-Hadamard inequality
Abstract In this study, we introduce new generalized multiplicative h-fractional integral and h-fractional derivative operators by employing multiplicative calculus within the framework of fractional analysis. Purely multiplicative operational arithmetic is utilized in deriving these results. The…
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Journal Article
Oscillatory behavior for higher-order nonlinear differential equations in the canonical case
Abstract In this paper, we study the oscillation of a class of higher-order neutral nonlinear differential equations. We begin by establishing the relationship between the solution and its corresponding function. Then, by applying Riccati substitution along with some inequalities, we derive a set…
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Journal Article
Asymptotic behavior study for a Kirchhoff-type system with nonlocal damping and logarithmic source terms
Abstract This paper investigates a system of coupled Kirchhoff-type wave equations with logarithmic source terms and nonlinear nonlocal damping. The local existence of weak solutions is established via the Faedo–Galerkin method, while the potential well-depth method is employed to prove the global…
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Journal Article
Fixed point theorems for rational and trigonometric mappings in fuzzy metric spaces via fuzzy Hermite-Hadamard inequalities
Abstract This paper presents a unified framework for fixed point theory in complete fuzzy metric spaces by synthesizing fuzzy Hermite-Hadamard inequalities with various contraction types, including rational contractions. We introduce innovative fuzzy transforms M ψ $\mathrm{M}_{\psi }$ and M ˜ ψ…
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Journal Article
Jensen and Jensen-Mercer type inequalities for M ( Ψ , m ) $\mathcal{M}_{(\Psi ,m)}$ -convex functions
Abstract In this paper, we introduce a class of convexity known as M ( Ψ , m ) $\mathcal{M}_{(\Psi ,m)}$ -convexity. First, we investigate multi-term refinements of the inequality associated with M ( Ψ , m ) $\mathcal{M}_{(\Psi ,m)}$ -convexity. Then, our results are further enhanced and…
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Journal Article
Generalized Reid inequalities and numerical radius bounds via block operator matrices
Abstract We establish new generalized Reid-type inequalities for bounded linear operators on complex Hilbert spaces by exploiting the positivity of 2 × 2 $2 \times 2$ block operator matrices and commutation relations. This approach yields refined mixed Schwarz-type inequalities and Hölder-type…
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Journal Article
Existence and local attractivity results for a nonlinear functional integral equation
Abstract In this paper, we prove the existence and local attractivity results for a nonlinear functional integral equation. The equation is considered in the Banach space of real valued functions that are continuous and bounded on R + $\mathbb{R}_{+}$ . In our considerations, we apply the measure…
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Journal Article
Average Nikolskii factors for random trigonometric polynomials
Abstract For 1 ≤ p , q ≤ ∞ $1\le p,q\le \infty $ , the Nikolskii factor for a trigonometric polynomial T a $T_{{\mathbf{a}}}$ is defined by N p , q ( T a ) = ∥ T a ∥ q ∥ T a ∥ p , T a ( x ) = a 1 + ∑ k = 1 n ( a 2 k 2 cos k x + a 2 k + 1 2 sin k x ) . $$ N_{p,q}(T_{{\mathbf{a}}})=…
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Journal Article
On the behavior of Fourier-Laplace series in L p ( σ m − 1 ) $L_{p}(\sigma ^{m-1})$ classes
Abstract The recent contribution by Gogoladze and Meskhia (Proc. A. Razmadze Math. Inst. 141:29–40, 2006) presents a generalization of classical results by Bernstein, Szász, Zygmund, and others on the absolute convergence of Fourier series with coefficients raised to a power ξ, analyzed via moduli…
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Journal Article
Computational error analysis of explicitly defined exponentially fitted Szász–Mirakyan operators
Abstract This manuscript presents a novel variant of the classical Szász-Mirakyan operators. The principal motivation is to obtain explicit closed-form expressions for the approximation error bounds, which are typically unavailable in general exponential preservation frameworks. In contrast to the…
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Journal Article
Topological dynamics for the endograph metric II: extremely radical properties
Abstract Given a dynamical system ( X , f ) $(X,f)$ we investigate several topological dynamical properties for its Zadeh extension ( F ( X ) , f ˆ ) $(\mathcal{F}(X),\hat{f})$ endowed with the endograph metric d E $d_{E}$ . In particular, we prove that for some contractive and expansive…
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