Some New Ostrowski Type Inequalities for Co-Ordinated Convex Functions [PDF]
In this paper, we obtain new identity for function of two variables and apply them to give new Ostrowski type integral inequality for double integrals involving functions whose derivatives are co-ordinates convex function on ( ) ( ) :, , ab c d ∆= × in 2 R with , a b c d
SARIKAYA, MEHMET ZEKİ +2 more
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Simpson’s Type Inequalities for Co-Ordinated Convex Functions on Quantum Calculus [PDF]
In the present paper, we aim to prove a new lemma and quantum Simpson’s type inequalities for functions of two variables having convexity on co-ordinates over [ α , β ] × [ ψ , ϕ ] . Moreover, our deduction introduce new direction as well as validate the previous results.
Humaira Kalsoom +3 more
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On Hermite-Hadamard type inequalities for co-ordinated trigonometrically $\rho$-convex functions
In this study, we first introduce the co-ordinated trigonometrically $\rho$-convex functions. Then we establish some Hermite-Hadamard type inequalities for this kind of functions. We also give refinement of the obtained inequalities by using the result given by Budak.
Budak, Hüseyin +2 more
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Generalization of Some Inequalities for Differentiable Co-ordinated Convex Functions With Applications [PDF]
Abstract In this paper, a new weighted identity for functions defined on a rectangle from the plane is established. By using the obtained identity and analysis, some new weighted integral inequalities for the classes of co-ordinated convex, co-ordinated wright-convex and co-ordinated quasi-convex functions on the rectangle from the ...
Latif, MA +2 more
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Weighted Ostrowski type inequalities for co-ordinated convex functions [PDF]
AbstractIn this paper, utilizing an identity given by Yıldız and Sarıkaya in (Yildiz and Sarikaya in Int. J. Anal. Appl. 13(1):64–69, 2017), we establish some weighted Ostrowski type inequalities for co-ordinated convex functions in a rectangle from the plane $\mathbb{R} ^{2}$ R 2
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On the Simpson's Inequality for Co-ordinated Convex Functions
In this paper, a new lemma is proved and inequalities of Simpson type are established for co-ordinated convex functions and bounded functions.
Ozdemir, M. Emin +3 more
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Humans and platyrrhines share a pattern of articular variance
Abstract Previous work has identified a pattern of articular shape variation in modern human limb joints, in which convex joint surfaces exhibit constrained variance relative to their more variable concave conarticulars. This pattern is notable given that joint morphogenesis is influenced by local biomechanical environments, which vary substantially ...
Haley Horbaly, Liam Zachary
wiley +1 more source
Understanding aromaticity has evolved from benzene‐centric concepts to a broad multidimensional framework spanning organic, inorganic, and excited‐state systems. This review highlights ambiguities between magnetic, electronic, geometric, and energetic descriptors, emphasizing the need for unified, multi‐criteria approaches.
Sílvia Escayola +2 more
wiley +1 more source
Complex Versus Parsimonious Site‐Based Stochastic Ground Motion Models: Which One Is Better?
ABSTRACT Stochastic ground motion models (GMMs) provide a probabilistic representation of seismic input and are increasingly important for uncertainty quantification (UQ) in earthquake engineering. This study focuses on site‐based stochastic GMMs, which learn the statistical features of selected datasets of seismic records and generate statistically ...
Maijia Su +2 more
wiley +1 more source
SCHUR-CONVEXITY OF INTEGRAL ARITHMETIC MEANS OF CO-ORDINATED CONVEX FUNCTIONS IN `R^3` [PDF]
In this paper, we investigate Schur-convexity of some functions which are obtained from the co-ordinated convex functions on a rectangular box in `R^3`.
Nozar Safaei, Ali Barani
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