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Editorial

An Editorial to the Journal Mathematics Special Issue “Recent Trends in Convex Analysis and Mathematical Inequalities”

by
Marius Radulescu
Gheorghe Mihoc-Caius Iacob Institute of Mathematical Statistics and Applied Mathematics, Romanian Academy, 050711 Bucharest, Romania
Mathematics 2025, 13(15), 2342; https://doi.org/10.3390/math13152342
Submission received: 6 March 2025 / Accepted: 7 March 2025 / Published: 23 July 2025
(This article belongs to the Special Issue Recent Trends in Convex Analysis and Mathematical Inequalities)
Versions Notes
This Special Issue of the journal Mathematics was dedicated to the study of properties of convex functions and convex sets. Note that convex analysis touches almost all branches of mathematics. Convex functions play an important role in many areas of mathematics, as well as in other areas of science economy, engineering, medicine, industry, and business. It is especially important in the study of optimization problems, where it is distinguished by a number of convenient properties (for example, any minimum of a convex function is a global minimum, or the maximum is attained at a boundary point).
The aim of this Special Issue was to bring in the attention of the mathematical community both theoretical results and practical applications.
In the Call for Papers, a large number of subjects were mentioned, e.g., Convex analysis, Convex optimization, Convex functions, Biconvex functions, Generalized convexity, Majorization theory, Schur convex functions, Jensen inequality, Hermite–Hadamard inequality, Weighted inequalities, Geometric inequalities, Variational inequalities, Equilibrium problems.
26 papers were published between 2021 and 2025. Some of them are of great relevance and practical importance. All submissions were reviewed by at least two experts from the corresponding research field. The acceptance rate of the papers was 39.39%.
It is my pleasure to thank all authors for submitting their recent works, all reviewers for their timely and insightful reports, and the staff of the Editorial Office for their effective support in preparing this Special Issue. I hope that the readers of this Special Issue will find stimulating ideas that initiate new research works in this interesting research field of great practical importance.

Conflicts of Interest

The author declares no conflict of interest.

List of Contributions

  • Siricharuanun, P.; Erden, S.; Ali, M.A.; Budak, H.; Chasreechai, S.; Sitthiwirattham, T. Some New Simpson’s and Newton’s Formulas Type Inequalities for Convex Functions in Quantum Calculus. Mathematics 2021, 9, 1992. https://doi.org/10.3390/math9161992.
  • You, X.; Ali, M.A.; Budak, H.; Reunsumrit, J.; Sitthiwirattham, T., Hermite–Hadamard–Mercer-Type Inequalities for Harmonically Convex Mappings. Mathematics 2021, 9, 2556. https://doi.org/10.3390/math9202556.
  • Simić, S.; Todorčević, V. Jensen Functional, Quasi-Arithmetic Mean and Sharp Converses of Hölder’s Inequalities. Mathematics 2021, 9, 3104. https://doi.org/10.3390/math9233104.
  • You, X.; Adil Khan, M.; Ullah, H.; Saeed, T. Improvements of Slater’s Inequality by Means of 4-Convexity and Its Applications. Mathematics 2022, 10, 1274. https://doi.org/10.3390/math10081274.
  • Răducan, A.M.; Rădulescu, C.Z.; Rădulescu, M.; Zbăganu, G. On the Probability of Finding Extremes in a Random Set. Mathematics 2022, 10, 1623. https://doi.org/10.3390/math10101623.
  • Tariq, M.; Sahoo, S.K.; Ntouyas, S.K.; Alsalami, O.M.; Shaikh, A.A.; Nonlaopon, K. Some New Mathematical Integral Inequalities Pertaining to Generalized Harmonic Convexity with Applications. Mathematics 2022, 10, 3286. https://doi.org/10.3390/math10183286.
  • Saeed, T.; Afzal, W.; Shabbir, K.; Treanţă, S.; De la Sen, M. Some Novel Estimates of Hermite–Hadamard and Jensen Type Inequalities for Convex Functions Pertaining to Total Order Relation. Mathematics 2022, 10, 4777. https://doi.org/10.3390/math10244777.
  • Fahad, A.; Ayesha; Wang, Y.; Butt, S.I. Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-Convex Functions and Its Subclasses with Applications. Mathematics 2023, 11, 278. https://doi.org/10.3390/math11020278.
  • Latif, M.A. Some Companions of Fejér Type Inequalities Using GA-Convex Functions. Mathematics 2023, 11, 392. https://doi.org/10.3390/math11020392.
  • Udriste, C.; Tevy, I.; Antonescu, P. Optimal Control Problem for Minimization of Net Energy Consumption at Metro. Mathematics 2023, 11, 1035. https://doi.org/10.3390/math11041035.
  • Latif, M.A. Properties of Coordinated Convex Functions of Two Variables Related to the Hermite–Hadamard–Fejér Type Inequalities. Mathematics 2023, 11, 1201. https://doi.org/10.3390/math11051201.
  • Budak, H.; Hezenci, F.; Kara, H.; Sarikaya, M.Z. Bounds for the Error in Approximating a Fractional Integral by Simpson’s Rule. Mathematics 2023, 11, 2282. https://doi.org/10.3390/math11102282.
  • Zeng, R. On Sub Convexlike Optimization Problems. Mathematics 2023, 11, 2928. https://doi.org/10.3390/math11132928.
  • Yang, B.; Wu, S. A Weighted Generalization of Hardy–Hilbert-Type Inequality Involving Two Partial Sums. Mathematics 2023, 11, 3212. https://doi.org/10.3390/math11143212.
  • Ghosh, A.; Upadhyay, B.B.; Stancu-Minasian, I.M. Pareto Efficiency Criteria and Duality for Multiobjective Fractional Programming Problems with Equilibrium Constraints on Hadamard Manifolds. Mathematics 2023, 11, 3649. https://doi.org/10.3390/math11173649.
  • Paneva-Konovska, J. Prabhakar Functions of Le Roy Type: Inequalities and Asymptotic Formulae. Mathematics 2023, 11, 3768. https://doi.org/10.3390/math11173768.
  • Rădulescu, S.; Rădulescu, M.; Bencze, M. Inequalities That Imply the Norm of a Linear Space Is Induced by an Inner Product. Mathematics 2023, 11, 4405. https://doi.org/10.3390/math11214405.
  • Lotfikar, R.; Eskandani, G.Z.; Kim, J.-K.; Rassias, M.T. Subgradient Extra-Gradient Algorithm for Pseudomonotone Equilibrium Problems and Fixed-Point Problems of Bregman Relatively Nonexpansive Mappings. Mathematics 2023, 11, 4821. https://doi.org/10.3390/math11234821.
  • Sfetcu, R.-C.; Preda, V. Order Properties Concerning Tsallis Residual Entropy. Mathematics 2024, 12, 417. https://doi.org/10.3390/math12030417.
  • Latif, M.A. More General Ostrowski-Type Inequalities in the Fuzzy Context, Mathematics 2024, 12, 500. https://doi.org/10.3390/math12030500.
  • Muravnik, A.B.; Rossovskii, G.L. Cauchy Problem with Summable Initial-Value Functions for Parabolic Equations with Translated Potentials. Mathematics 2024, 12, 895. https://doi.org/10.3390/math12060895.
  • Butt, S.I.; Aftab, M.N.; Seol, Y. Symmetric Quantum Inequalities on Finite Rectangular Plane. Mathematics 2024, 12, 1517. https://doi.org/10.3390/math12101517.
  • Zhang, E. Criteria of a Two-Weight, Weak-Type Inequality in Orlicz Classes for Maximal Functions Defined on Homogeneous Spaces. Mathematics 2024, 12, 2271. https://doi.org/10.3390/math12142271.
  • Yang, B.; Wu, S. On a Discrete Version of the Hardy–Littlewood–Polya Inequality Involving Multiple Parameters in the Whole Plane. Mathematics, 2024, 12, 2319. https://doi.org/10.3390/math12152319.
  • Zhang, E. A Unified Version of Weighted Weak-Type Inequalities for the One-Sided Hardy–Littlewood Maximal Function in Orlicz Classes. Mathematics 2024, 12, 2814. https://doi.org/10.3390/math12182814.
  • Treanţă, S.; Alsalami, O.M. Results on Solution Set in Certain Interval-Valued Controlled Models. Mathematics 2025, 13, 202. https://doi.org/10.3390/math13020202.
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.

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MDPI and ACS Style

Radulescu, M. An Editorial to the Journal Mathematics Special Issue “Recent Trends in Convex Analysis and Mathematical Inequalities”. Mathematics 2025, 13, 2342. https://doi.org/10.3390/math13152342

AMA Style

Radulescu M. An Editorial to the Journal Mathematics Special Issue “Recent Trends in Convex Analysis and Mathematical Inequalities”. Mathematics. 2025; 13(15):2342. https://doi.org/10.3390/math13152342

Chicago/Turabian Style

Radulescu, Marius. 2025. "An Editorial to the Journal Mathematics Special Issue “Recent Trends in Convex Analysis and Mathematical Inequalities”" Mathematics 13, no. 15: 2342. https://doi.org/10.3390/math13152342

APA Style

Radulescu, M. (2025). An Editorial to the Journal Mathematics Special Issue “Recent Trends in Convex Analysis and Mathematical Inequalities”. Mathematics, 13(15), 2342. https://doi.org/10.3390/math13152342

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