Author

M. Tariq

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Open access Oct 2026

On a New Generalized Convexity and Its Related Midpoint-, Trapezoid-, and Simpson-Type Inequalities via Multiplicative Calculus

In this paper, we introduce and investigate a refined generalization of convexity, termed the multiplicatively strongly s-convex function, and establish several of its fundamental algebraic properties. Within the framework of multiplicative calculus, this generalized convexity structure is employed to derive new midpoi...

Mohammad Akram, I. Kal'chuk, M. Tariq et al. · Axioms · 0 citations

Open access Sep 2026

Simpson’s Type Estimates for Multiplicatively Strongly Convex Function via Non-Newtonian Calculus

In this paper, we initially establish a novel integral identity for multiplicatively differentiable functions within the framework of non-Newtonian calculus. By judiciously exploiting this identity, we derive a new Simpson’s-type integral inequality for multiplicatively strongly convex functions. Several significant sp...

Rosalio G. Artes, Saima Bhatti, M. Tariq et al. · International Journal of Ana... · 0 citations

Open access Oct 2026

On New Refinement of Convexity via Interval Calculus with its Fractional Extensions with Applications in Information Theory

This paper introduces, for the first time, a novel class of center-radius order P-superquadratic interval-valued functions and systematically examines their fundamental structural properties. Leveraging these properties, we establish new Jensen and Hermite-Hadamard (\(\mathcal{H.H}\)) type inequalities, together with t...

Ali Ahmed, Saima Bhatti, Iqrar Ali Pali et al. · International Journal of Ana... · 0 citations